How to Find GCF of 9249/676, 1523/4694?

GCF of 9249/676, 1523/4694

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 9249/676, 1523/4694 i.e 1/1586572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9249/676, 1523/4694.

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 9249/676,1523/4694?

Given fractions are 9249/676,1523/4694

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 9249/676,1523/4694, numerators are 9249,1523

Denominators are 676,4694

The GCF of 9249,1523 is 1 .

LCM of 676,4694 is 1586572.

The greatest common factor of 9249/676,1523/4694 = [GCF of 9249,1523]/[LCM of 676,4694]= 1/1586572

Therefore, the GCF of 9249/676,1523/4694 is 1/1586572.

Greatest Common Factor of 9249,1523

To find the highest common factor of 9249,1523, we have to find the factors of both numbers and list the highest common factor.

The factors of 9249 are 1, 3, 3083, 9249

The factors of 1523 are 1, 1523

The HCF of 9249,1523 is 1.

Lets's calculate GCF of 9249,1523

Greatest Common Factor (GCF) of 9249,1523 By Common Division

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

Greatest Common Factor of 9249,1523 By Matching Biggest Common Factor Method

Now, list down the factors of 9249

1,3,3083,9249

Now, list down the factors of 1523

1,1523

Greatest Common Factor

We found the factors 9249,1523 . The biggest common factor number is the GCF number.
So the greatest common factor 9249,1523 is 1.

Lets's calculate LCM of 676,4694

Lowest Common Multiple of 676,4694 using Common Division

2	676, 4694
	338, 2347

∴ So the LCM of the given numbers is 2 x 338 x 2347 = 1586572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1586572

Therefore, the GCF of Fractions 9249/676,1523/4694 is 1/1586572

Least Common Multiple of 676,4694 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 676,4694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,4694) = 2

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

GCF(676,4694) x common factors =2 x 1 = 2

LCM(676,4694) = ( 676 × 4694 ) / 2

LCM(676,4694) = 3173144 / 2

LCM(676,4694) = 1586572

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FAQs on GCF of Fractions of 9249/676, 1523/4694

1. What is the HCF of 9249,1523?

The HCF of 9249,1523 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 9249/676, 1523/4694?

Answer: GCF of Numerators as per given numbers 9249/676, 1523/4694 is

GCF of Numerators i.e. for 9249,1523 is 1

LCM of denominators i.e. for 676,4694 is 1586572.

Thus, GCF of Fractions is 1/1586572.Finally, GCF of Fractions for 9249/676, 1523/4694 is 1/1586572.