How to Find GCF of 5540/981, 7278/1054?

GCF of 5540/981, 7278/1054

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 5540/981, 7278/1054 i.e 2/1033974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5540/981, 7278/1054.

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 5540/981,7278/1054?

Given fractions are 5540/981,7278/1054

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 5540/981,7278/1054, numerators are 5540,7278

Denominators are 981,1054

The GCF of 5540,7278 is 2 .

LCM of 981,1054 is 1033974.

The greatest common factor of 5540/981,7278/1054 = [GCF of 5540,7278]/[LCM of 981,1054]= 2/1033974

Therefore, the GCF of 5540/981,7278/1054 is 2/1033974.

Greatest Common Factor of 5540,7278

To find the highest common factor of 5540,7278, we have to find the factors of both numbers and list the highest common factor.

The factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540

The factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278

The HCF of 5540,7278 is 2.

Lets's calculate GCF of 5540,7278

Greatest Common Factor (GCF) of 5540,7278 By Common Division

2	5540, 7278
	2770, 3639

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

Greatest Common Factor of 5540,7278 By Matching Biggest Common Factor Method

Now, list down the factors of 5540

1,2,4,5,10,20,277,554,1108,1385,2770,5540

Now, list down the factors of 7278

1,2,3,6,1213,2426,3639,7278

Greatest Common Factor

We found the factors 5540,7278 . The biggest common factor number is the GCF number.
So the greatest common factor 5540,7278 is 2.

Lets's calculate LCM of 981,1054

Lowest Common Multiple of 981,1054 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1033974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1033974

Therefore, the GCF of Fractions 5540/981,7278/1054 is 2/1033974

Least Common Multiple of 981,1054 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 981,1054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,1054) = 1

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

GCF(981,1054) x common factors =1 x 1 = 1

LCM(981,1054) = ( 981 × 1054 ) / 1

LCM(981,1054) = 1033974 / 1

LCM(981,1054) = 1033974

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5540/981, 7278/1054

1. What is the HCF of 5540,7278?

The HCF of 5540,7278 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 5540/981, 7278/1054?

Answer: GCF of Numerators as per given numbers 5540/981, 7278/1054 is

GCF of Numerators i.e. for 5540,7278 is 2

LCM of denominators i.e. for 981,1054 is 1033974.

Thus, GCF of Fractions is 2/1033974.Finally, GCF of Fractions for 5540/981, 7278/1054 is 2/1033974.