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GCF of 790/249, 353/378

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 790/249, 353/378 i.e 1/31374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/249, 353/378.

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 790/249,353/378?

Given fractions are 790/249,353/378

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 790/249,353/378, numerators are 790,353

Denominators are 249,378

The GCF of 790,353 is 1 .

LCM of 249,378 is 31374.

The greatest common factor of 790/249,353/378 = [GCF of 790,353]/[LCM of 249,378]= 1/31374

Therefore, the GCF of 790/249,353/378 is 1/31374.

Greatest Common Factor of 790,353

To find the highest common factor of 790,353, we have to find the factors of both numbers and list the highest common factor.

The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790

The factors of 353 are 1, 353

The HCF of 790,353 is 1.

Lets's calculate GCF of 790,353

Greatest Common Factor (GCF) of 790,353 By Common Division

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

Greatest Common Factor of 790,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,353 By Matching Biggest Common Factor Method

Now, list down the factors of 790

:

1,2,5,10,79,158,395,790

Now, list down the factors of 353

:

1,353

Greatest Common Factor

We found the factors 790,353 . The biggest common factor number is the GCF number.
So the greatest common factor 790,353 is 1.

Lets's calculate LCM of 249,378

Lowest Common Multiple of 249,378 using Common Division

3 249, 378
83, 126

∴ So the LCM of the given numbers is 3 x 83 x 126 = 31374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31374

Therefore, the GCF of Fractions 790/249,353/378 is 1/31374

Least Common Multiple of 249,378 with GCF Formula

Least Common Multiple of 249,378 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 249,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,378) = 3

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

GCF(249,378) x common factors =3 x 1 = 3

LCM(249,378) = ( 249 × 378 ) / 3

LCM(249,378) = 94122 / 3

LCM(249,378) = 31374


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FAQs on GCF of Fractions of 790/249, 353/378

1. What is the HCF of 790,353?

The HCF of 790,353 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 790/249, 353/378?

Answer: GCF of Numerators as per given numbers 790/249, 353/378 is

GCF of Numerators i.e. for 790,353 is 1

LCM of denominators i.e. for 249,378 is 31374.

Thus, GCF of Fractions is 1/31374.Finally, GCF of Fractions for 790/249, 353/378 is 1/31374.