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GCF of 908/760, 3235/744

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 908/760, 3235/744 i.e 1/70680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/760, 3235/744.

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 908/760,3235/744?

Given fractions are 908/760,3235/744

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 908/760,3235/744, numerators are 908,3235

Denominators are 760,744

The GCF of 908,3235 is 1 .

LCM of 760,744 is 70680.

The greatest common factor of 908/760,3235/744 = [GCF of 908,3235]/[LCM of 760,744]= 1/70680

Therefore, the GCF of 908/760,3235/744 is 1/70680.

Greatest Common Factor of 908,3235

To find the highest common factor of 908,3235, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 3235 are 1, 5, 647, 3235

The HCF of 908,3235 is 1.

Lets's calculate GCF of 908,3235

Greatest Common Factor (GCF) of 908,3235 By Common Division

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

Greatest Common Factor of 908,3235 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,3235 By Matching Biggest Common Factor Method

Now, list down the factors of 908

:

1,2,4,227,454,908

Now, list down the factors of 3235

:

1,5,647,3235

Greatest Common Factor

We found the factors 908,3235 . The biggest common factor number is the GCF number.
So the greatest common factor 908,3235 is 1.

Lets's calculate LCM of 760,744

Lowest Common Multiple of 760,744 using Common Division

2 760, 744
2 380, 372
2 190, 186
95, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 93 = 70680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70680

Therefore, the GCF of Fractions 908/760,3235/744 is 1/70680

Least Common Multiple of 760,744 with GCF Formula

Least Common Multiple of 760,744 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 760,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,744) = 8

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

GCF(760,744) x common factors =8 x 1 = 8

LCM(760,744) = ( 760 × 744 ) / 8

LCM(760,744) = 565440 / 8

LCM(760,744) = 70680


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FAQs on GCF of Fractions of 908/760, 3235/744

1. What is the HCF of 908,3235?

The HCF of 908,3235 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 908/760, 3235/744?

Answer: GCF of Numerators as per given numbers 908/760, 3235/744 is

GCF of Numerators i.e. for 908,3235 is 1

LCM of denominators i.e. for 760,744 is 70680.

Thus, GCF of Fractions is 1/70680.Finally, GCF of Fractions for 908/760, 3235/744 is 1/70680.