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GCF of 7121/456, 1923/304

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 7121/456, 1923/304 i.e 1/912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7121/456, 1923/304.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7121/456,1923/304?

Given fractions are 7121/456,1923/304

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 7121/456,1923/304, numerators are 7121,1923

Denominators are 456,304

The GCF of 7121,1923 is 1 .

LCM of 456,304 is 912.

The greatest common factor of 7121/456,1923/304 = [GCF of 7121,1923]/[LCM of 456,304]= 1/912

Therefore, the GCF of 7121/456,1923/304 is 1/912.

Greatest Common Factor of 7121,1923

To find the highest common factor of 7121,1923, we have to find the factors of both numbers and list the highest common factor.

The factors of 7121 are 1, 7121

The factors of 1923 are 1, 3, 641, 1923

The HCF of 7121,1923 is 1.

Lets's calculate GCF of 7121,1923

Greatest Common Factor (GCF) of 7121,1923 By Common Division

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

Greatest Common Factor of 7121,1923 By Matching Biggest Common Factor Method

Greatest Common Factor of 7121,1923 By Matching Biggest Common Factor Method

Now, list down the factors of 7121

:

1,7121

Now, list down the factors of 1923

:

1,3,641,1923

Greatest Common Factor

We found the factors 7121,1923 . The biggest common factor number is the GCF number.
So the greatest common factor 7121,1923 is 1.

Lets's calculate LCM of 456,304

Lowest Common Multiple of 456,304 using Common Division

2 456, 304
2 228, 152
2 114, 76
19 57, 38
3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 3 x 2 = 912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/912

Therefore, the GCF of Fractions 7121/456,1923/304 is 1/912

Least Common Multiple of 456,304 with GCF Formula

Least Common Multiple of 456,304 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 456,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,304) = 152

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

GCF(456,304) x common factors =152 x 1 = 152

LCM(456,304) = ( 456 × 304 ) / 152

LCM(456,304) = 138624 / 152

LCM(456,304) = 912


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FAQs on GCF of Fractions of 7121/456, 1923/304

1. What is the HCF of 7121,1923?

The HCF of 7121,1923 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 7121/456, 1923/304?

Answer: GCF of Numerators as per given numbers 7121/456, 1923/304 is

GCF of Numerators i.e. for 7121,1923 is 1

LCM of denominators i.e. for 456,304 is 912.

Thus, GCF of Fractions is 1/912.Finally, GCF of Fractions for 7121/456, 1923/304 is 1/912.