How to Find GCF of 9944/265, 4946/5557?

GCF of 9944/265, 4946/5557

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 9944/265, 4946/5557 i.e 2/1472605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9944/265, 4946/5557.

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 9944/265,4946/5557?

Given fractions are 9944/265,4946/5557

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 9944/265,4946/5557, numerators are 9944,4946

Denominators are 265,5557

The GCF of 9944,4946 is 2 .

LCM of 265,5557 is 1472605.

The greatest common factor of 9944/265,4946/5557 = [GCF of 9944,4946]/[LCM of 265,5557]= 2/1472605

Therefore, the GCF of 9944/265,4946/5557 is 2/1472605.

Greatest Common Factor of 9944,4946

To find the highest common factor of 9944,4946, we have to find the factors of both numbers and list the highest common factor.

The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944

The factors of 4946 are 1, 2, 2473, 4946

The HCF of 9944,4946 is 2.

Lets's calculate GCF of 9944,4946

Greatest Common Factor (GCF) of 9944,4946 By Common Division

2	9944, 4946
	4972, 2473

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9944,4946 By Matching Biggest Common Factor Method

Now, list down the factors of 9944

1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944

Now, list down the factors of 4946

1,2,2473,4946

Greatest Common Factor

We found the factors 9944,4946 . The biggest common factor number is the GCF number.
So the greatest common factor 9944,4946 is 2.

Lets's calculate LCM of 265,5557

Lowest Common Multiple of 265,5557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1472605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1472605

Therefore, the GCF of Fractions 9944/265,4946/5557 is 2/1472605

Least Common Multiple of 265,5557 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 265,5557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,5557) = 1

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

GCF(265,5557) x common factors =1 x 1 = 1

LCM(265,5557) = ( 265 × 5557 ) / 1

LCM(265,5557) = 1472605 / 1

LCM(265,5557) = 1472605

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FAQs on GCF of Fractions of 9944/265, 4946/5557

1. What is the HCF of 9944,4946?

The HCF of 9944,4946 is 2

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 9944/265, 4946/5557?

Answer: GCF of Numerators as per given numbers 9944/265, 4946/5557 is

GCF of Numerators i.e. for 9944,4946 is 2

LCM of denominators i.e. for 265,5557 is 1472605.

Thus, GCF of Fractions is 2/1472605.Finally, GCF of Fractions for 9944/265, 4946/5557 is 2/1472605.