How to Find GCF of 5021/410, 7946/9649?

GCF of 5021/410, 7946/9649

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 5021/410, 7946/9649 i.e 1/3956090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5021/410, 7946/9649.

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 5021/410,7946/9649?

Given fractions are 5021/410,7946/9649

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 5021/410,7946/9649, numerators are 5021,7946

Denominators are 410,9649

The GCF of 5021,7946 is 1 .

LCM of 410,9649 is 3956090.

The greatest common factor of 5021/410,7946/9649 = [GCF of 5021,7946]/[LCM of 410,9649]= 1/3956090

Therefore, the GCF of 5021/410,7946/9649 is 1/3956090.

Greatest Common Factor of 5021,7946

To find the highest common factor of 5021,7946, we have to find the factors of both numbers and list the highest common factor.

The factors of 5021 are 1, 5021

The factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946

The HCF of 5021,7946 is 1.

Lets's calculate GCF of 5021,7946

Greatest Common Factor (GCF) of 5021,7946 By Common Division

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

Greatest Common Factor of 5021,7946 By Matching Biggest Common Factor Method

Now, list down the factors of 5021

1,5021

Now, list down the factors of 7946

1,2,29,58,137,274,3973,7946

Greatest Common Factor

We found the factors 5021,7946 . The biggest common factor number is the GCF number.
So the greatest common factor 5021,7946 is 1.

Lets's calculate LCM of 410,9649

Lowest Common Multiple of 410,9649 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3956090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3956090

Therefore, the GCF of Fractions 5021/410,7946/9649 is 1/3956090

Least Common Multiple of 410,9649 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 410,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,9649) = 1

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

GCF(410,9649) x common factors =1 x 1 = 1

LCM(410,9649) = ( 410 × 9649 ) / 1

LCM(410,9649) = 3956090 / 1

LCM(410,9649) = 3956090

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FAQs on GCF of Fractions of 5021/410, 7946/9649

1. What is the HCF of 5021,7946?

The HCF of 5021,7946 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 5021/410, 7946/9649?

Answer: GCF of Numerators as per given numbers 5021/410, 7946/9649 is

GCF of Numerators i.e. for 5021,7946 is 1

LCM of denominators i.e. for 410,9649 is 3956090.

Thus, GCF of Fractions is 1/3956090.Finally, GCF of Fractions for 5021/410, 7946/9649 is 1/3956090.