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GCF of 695/48, 101/310

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 695/48, 101/310 i.e 1/7440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/48, 101/310.

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 695/48,101/310?

Given fractions are 695/48,101/310

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 695/48,101/310, numerators are 695,101

Denominators are 48,310

The GCF of 695,101 is 1 .

LCM of 48,310 is 7440.

The greatest common factor of 695/48,101/310 = [GCF of 695,101]/[LCM of 48,310]= 1/7440

Therefore, the GCF of 695/48,101/310 is 1/7440.

Greatest Common Factor of 695,101

To find the highest common factor of 695,101, we have to find the factors of both numbers and list the highest common factor.

The factors of 695 are 1, 5, 139, 695

The factors of 101 are 1, 101

The HCF of 695,101 is 1.

Lets's calculate GCF of 695,101

Greatest Common Factor (GCF) of 695,101 By Common Division

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

Greatest Common Factor of 695,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,101 By Matching Biggest Common Factor Method

Now, list down the factors of 695

:

1,5,139,695

Now, list down the factors of 101

:

1,101

Greatest Common Factor

We found the factors 695,101 . The biggest common factor number is the GCF number.
So the greatest common factor 695,101 is 1.

Lets's calculate LCM of 48,310

Lowest Common Multiple of 48,310 using Common Division

2 48, 310
24, 155

∴ So the LCM of the given numbers is 2 x 24 x 155 = 7440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7440

Therefore, the GCF of Fractions 695/48,101/310 is 1/7440

Least Common Multiple of 48,310 with GCF Formula

Least Common Multiple of 48,310 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 48,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,310) = 2

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

GCF(48,310) x common factors =2 x 1 = 2

LCM(48,310) = ( 48 × 310 ) / 2

LCM(48,310) = 14880 / 2

LCM(48,310) = 7440


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FAQs on GCF of Fractions of 695/48, 101/310

1. What is the HCF of 695,101?

The HCF of 695,101 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 695/48, 101/310?

Answer: GCF of Numerators as per given numbers 695/48, 101/310 is

GCF of Numerators i.e. for 695,101 is 1

LCM of denominators i.e. for 48,310 is 7440.

Thus, GCF of Fractions is 1/7440.Finally, GCF of Fractions for 695/48, 101/310 is 1/7440.