How to Find GCF of 2278/976, 2252/7337?

GCF of 2278/976, 2252/7337

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 2278/976, 2252/7337 i.e 2/7160912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2278/976, 2252/7337.

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 2278/976,2252/7337?

Given fractions are 2278/976,2252/7337

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 2278/976,2252/7337, numerators are 2278,2252

Denominators are 976,7337

The GCF of 2278,2252 is 2 .

LCM of 976,7337 is 7160912.

The greatest common factor of 2278/976,2252/7337 = [GCF of 2278,2252]/[LCM of 976,7337]= 2/7160912

Therefore, the GCF of 2278/976,2252/7337 is 2/7160912.

Greatest Common Factor of 2278,2252

To find the highest common factor of 2278,2252, we have to find the factors of both numbers and list the highest common factor.

The factors of 2278 are 1, 2, 17, 34, 67, 134, 1139, 2278

The factors of 2252 are 1, 2, 4, 563, 1126, 2252

The HCF of 2278,2252 is 2.

Lets's calculate GCF of 2278,2252

Greatest Common Factor (GCF) of 2278,2252 By Common Division

2	2278, 2252
	1139, 1126

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

Greatest Common Factor of 2278,2252 By Matching Biggest Common Factor Method

Now, list down the factors of 2278

1,2,17,34,67,134,1139,2278

Now, list down the factors of 2252

1,2,4,563,1126,2252

Greatest Common Factor

We found the factors 2278,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 2278,2252 is 2.

Lets's calculate LCM of 976,7337

Lowest Common Multiple of 976,7337 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7160912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7160912

Therefore, the GCF of Fractions 2278/976,2252/7337 is 2/7160912

Least Common Multiple of 976,7337 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 976,7337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,7337) = 1

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

GCF(976,7337) x common factors =1 x 1 = 1

LCM(976,7337) = ( 976 × 7337 ) / 1

LCM(976,7337) = 7160912 / 1

LCM(976,7337) = 7160912

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FAQs on GCF of Fractions of 2278/976, 2252/7337

1. What is the HCF of 2278,2252?

The HCF of 2278,2252 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 2278/976, 2252/7337?

Answer: GCF of Numerators as per given numbers 2278/976, 2252/7337 is

GCF of Numerators i.e. for 2278,2252 is 2

LCM of denominators i.e. for 976,7337 is 7160912.

Thus, GCF of Fractions is 2/7160912.Finally, GCF of Fractions for 2278/976, 2252/7337 is 2/7160912.