How to Find GCF of 7949/265, 7510/5727?

GCF of 7949/265, 7510/5727

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 7949/265, 7510/5727 i.e 1/1517655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7949/265, 7510/5727.

Enter two or more fractions separated by "commas"

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

What is the GCF of 7949/265,7510/5727?

Given fractions are 7949/265,7510/5727

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 7949/265,7510/5727, numerators are 7949,7510

Denominators are 265,5727

The GCF of 7949,7510 is 1 .

LCM of 265,5727 is 1517655.

The greatest common factor of 7949/265,7510/5727 = [GCF of 7949,7510]/[LCM of 265,5727]= 1/1517655

Therefore, the GCF of 7949/265,7510/5727 is 1/1517655.

Greatest Common Factor of 7949,7510

To find the highest common factor of 7949,7510, we have to find the factors of both numbers and list the highest common factor.

The factors of 7949 are 1, 7949

The factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510

The HCF of 7949,7510 is 1.

Lets's calculate GCF of 7949,7510

Greatest Common Factor (GCF) of 7949,7510 By Common Division

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

Greatest Common Factor of 7949,7510 By Matching Biggest Common Factor Method

Now, list down the factors of 7949

1,7949

Now, list down the factors of 7510

1,2,5,10,751,1502,3755,7510

Greatest Common Factor

We found the factors 7949,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 7949,7510 is 1.

Lets's calculate LCM of 265,5727

Lowest Common Multiple of 265,5727 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1517655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1517655

Therefore, the GCF of Fractions 7949/265,7510/5727 is 1/1517655

Least Common Multiple of 265,5727 with GCF Formula

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

We need to calculate greatest common factor of 265,5727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,5727) = 1

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

GCF(265,5727) x common factors =1 x 1 = 1

LCM(265,5727) = ( 265 × 5727 ) / 1

LCM(265,5727) = 1517655 / 1

LCM(265,5727) = 1517655

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FAQs on GCF of Fractions of 7949/265, 7510/5727

1. What is the HCF of 7949,7510?

The HCF of 7949,7510 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 7949/265, 7510/5727?

Answer: GCF of Numerators as per given numbers 7949/265, 7510/5727 is

GCF of Numerators i.e. for 7949,7510 is 1

LCM of denominators i.e. for 265,5727 is 1517655.

Thus, GCF of Fractions is 1/1517655.Finally, GCF of Fractions for 7949/265, 7510/5727 is 1/1517655.