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GCF of 1145/708, 7651/902

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 1145/708, 7651/902 i.e 1/319308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1145/708, 7651/902.

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 1145/708,7651/902?

Given fractions are 1145/708,7651/902

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 1145/708,7651/902, numerators are 1145,7651

Denominators are 708,902

The GCF of 1145,7651 is 1 .

LCM of 708,902 is 319308.

The greatest common factor of 1145/708,7651/902 = [GCF of 1145,7651]/[LCM of 708,902]= 1/319308

Therefore, the GCF of 1145/708,7651/902 is 1/319308.

Greatest Common Factor of 1145,7651

To find the highest common factor of 1145,7651, we have to find the factors of both numbers and list the highest common factor.

The factors of 1145 are 1, 5, 229, 1145

The factors of 7651 are 1, 7, 1093, 7651

The HCF of 1145,7651 is 1.

Lets's calculate GCF of 1145,7651

Greatest Common Factor (GCF) of 1145,7651 By Common Division

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

Greatest Common Factor of 1145,7651 By Matching Biggest Common Factor Method

Greatest Common Factor of 1145,7651 By Matching Biggest Common Factor Method

Now, list down the factors of 1145

:

1,5,229,1145

Now, list down the factors of 7651

:

1,7,1093,7651

Greatest Common Factor

We found the factors 1145,7651 . The biggest common factor number is the GCF number.
So the greatest common factor 1145,7651 is 1.

Lets's calculate LCM of 708,902

Lowest Common Multiple of 708,902 using Common Division

2 708, 902
354, 451

∴ So the LCM of the given numbers is 2 x 354 x 451 = 319308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319308

Therefore, the GCF of Fractions 1145/708,7651/902 is 1/319308

Least Common Multiple of 708,902 with GCF Formula

Least Common Multiple of 708,902 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 708,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,902) = 2

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

GCF(708,902) x common factors =2 x 1 = 2

LCM(708,902) = ( 708 × 902 ) / 2

LCM(708,902) = 638616 / 2

LCM(708,902) = 319308


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FAQs on GCF of Fractions of 1145/708, 7651/902

1. What is the HCF of 1145,7651?

The HCF of 1145,7651 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 1145/708, 7651/902?

Answer: GCF of Numerators as per given numbers 1145/708, 7651/902 is

GCF of Numerators i.e. for 1145,7651 is 1

LCM of denominators i.e. for 708,902 is 319308.

Thus, GCF of Fractions is 1/319308.Finally, GCF of Fractions for 1145/708, 7651/902 is 1/319308.