How to Find GCF of 8114/948, 4457/940?

GCF of 8114/948, 4457/940

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 8114/948, 4457/940 i.e 1/222780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8114/948, 4457/940.

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 8114/948,4457/940?

Given fractions are 8114/948,4457/940

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 8114/948,4457/940, numerators are 8114,4457

Denominators are 948,940

The GCF of 8114,4457 is 1 .

LCM of 948,940 is 222780.

The greatest common factor of 8114/948,4457/940 = [GCF of 8114,4457]/[LCM of 948,940]= 1/222780

Therefore, the GCF of 8114/948,4457/940 is 1/222780.

Greatest Common Factor of 8114,4457

To find the highest common factor of 8114,4457, we have to find the factors of both numbers and list the highest common factor.

The factors of 8114 are 1, 2, 4057, 8114

The factors of 4457 are 1, 4457

The HCF of 8114,4457 is 1.

Lets's calculate GCF of 8114,4457

Greatest Common Factor (GCF) of 8114,4457 By Common Division

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

Greatest Common Factor of 8114,4457 By Matching Biggest Common Factor Method

Now, list down the factors of 8114

1,2,4057,8114

Now, list down the factors of 4457

1,4457

Greatest Common Factor

We found the factors 8114,4457 . The biggest common factor number is the GCF number.
So the greatest common factor 8114,4457 is 1.

Lets's calculate LCM of 948,940

Lowest Common Multiple of 948,940 using Common Division

2	948, 940
2	474, 470
	237, 235

∴ So the LCM of the given numbers is 2 x 2 x 237 x 235 = 222780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222780

Therefore, the GCF of Fractions 8114/948,4457/940 is 1/222780

Least Common Multiple of 948,940 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 948,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,940) = 4

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

GCF(948,940) x common factors =4 x 1 = 4

LCM(948,940) = ( 948 × 940 ) / 4

LCM(948,940) = 891120 / 4

LCM(948,940) = 222780

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FAQs on GCF of Fractions of 8114/948, 4457/940

1. What is the HCF of 8114,4457?

The HCF of 8114,4457 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 8114/948, 4457/940?

Answer: GCF of Numerators as per given numbers 8114/948, 4457/940 is

GCF of Numerators i.e. for 8114,4457 is 1

LCM of denominators i.e. for 948,940 is 222780.

Thus, GCF of Fractions is 1/222780.Finally, GCF of Fractions for 8114/948, 4457/940 is 1/222780.