LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 114/42, 127/776

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 114/42, 127/776 i.e 1/16296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 114/42, 127/776.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 114/42,127/776?

Given fractions are 114/42,127/776

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 114/42,127/776, numerators are 114,127

Denominators are 42,776

The GCF of 114,127 is 1 .

LCM of 42,776 is 16296.

The greatest common factor of 114/42,127/776 = [GCF of 114,127]/[LCM of 42,776]= 1/16296

Therefore, the GCF of 114/42,127/776 is 1/16296.

Greatest Common Factor of 114,127

To find the highest common factor of 114,127, we have to find the factors of both numbers and list the highest common factor.

The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114

The factors of 127 are 1, 127

The HCF of 114,127 is 1.

Lets's calculate GCF of 114,127

Greatest Common Factor (GCF) of 114,127 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 114,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,127 By Matching Biggest Common Factor Method

Now, list down the factors of 114

:

1,2,3,6,19,38,57,114

Now, list down the factors of 127

:

1,127

Greatest Common Factor

We found the factors 114,127 . The biggest common factor number is the GCF number.
So the greatest common factor 114,127 is 1.

Lets's calculate LCM of 42,776

Lowest Common Multiple of 42,776 using Common Division

2 42, 776
21, 388

∴ So the LCM of the given numbers is 2 x 21 x 388 = 16296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16296

Therefore, the GCF of Fractions 114/42,127/776 is 1/16296

Least Common Multiple of 42,776 with GCF Formula

Least Common Multiple of 42,776 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,776) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(42,776) x common factors =2 x 1 = 2

LCM(42,776) = ( 42 × 776 ) / 2

LCM(42,776) = 32592 / 2

LCM(42,776) = 16296


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 114/42, 127/776

1. What is the HCF of 114,127?

The HCF of 114,127 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 114/42, 127/776?

Answer: GCF of Numerators as per given numbers 114/42, 127/776 is

GCF of Numerators i.e. for 114,127 is 1

LCM of denominators i.e. for 42,776 is 16296.

Thus, GCF of Fractions is 1/16296.Finally, GCF of Fractions for 114/42, 127/776 is 1/16296.