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 154/15, 802/109

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 154/15, 802/109 i.e 2/1635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/15, 802/109.

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 154/15,802/109?

Given fractions are 154/15,802/109

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 154/15,802/109, numerators are 154,802

Denominators are 15,109

The GCF of 154,802 is 2 .

LCM of 15,109 is 1635.

The greatest common factor of 154/15,802/109 = [GCF of 154,802]/[LCM of 15,109]= 2/1635

Therefore, the GCF of 154/15,802/109 is 2/1635.

Greatest Common Factor of 154,802

To find the highest common factor of 154,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154

The factors of 802 are 1, 2, 401, 802

The HCF of 154,802 is 2.

Lets's calculate GCF of 154,802

Greatest Common Factor (GCF) of 154,802 By Common Division

2 154, 802
77, 401

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 154,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,802 By Matching Biggest Common Factor Method

Now, list down the factors of 154

:

1,2,7,11,14,22,77,154

Now, list down the factors of 802

:

1,2,401,802

Greatest Common Factor

We found the factors 154,802 . The biggest common factor number is the GCF number.
So the greatest common factor 154,802 is 2.

Lets's calculate LCM of 15,109

Lowest Common Multiple of 15,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1635

Therefore, the GCF of Fractions 154/15,802/109 is 2/1635

Least Common Multiple of 15,109 with GCF Formula

Least Common Multiple of 15,109 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 15,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,109) = 1

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

GCF(15,109) x common factors =1 x 1 = 1

LCM(15,109) = ( 15 × 109 ) / 1

LCM(15,109) = 1635 / 1

LCM(15,109) = 1635


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 154/15, 802/109

1. What is the HCF of 154,802?

The HCF of 154,802 is 2

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 154/15, 802/109?

Answer: GCF of Numerators as per given numbers 154/15, 802/109 is

GCF of Numerators i.e. for 154,802 is 2

LCM of denominators i.e. for 15,109 is 1635.

Thus, GCF of Fractions is 2/1635.Finally, GCF of Fractions for 154/15, 802/109 is 2/1635.