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GCF of 790/402, 214/941

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 790/402, 214/941 i.e 2/378282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/402, 214/941.

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 790/402,214/941?

Given fractions are 790/402,214/941

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 790/402,214/941, numerators are 790,214

Denominators are 402,941

The GCF of 790,214 is 2 .

LCM of 402,941 is 378282.

The greatest common factor of 790/402,214/941 = [GCF of 790,214]/[LCM of 402,941]= 2/378282

Therefore, the GCF of 790/402,214/941 is 2/378282.

Greatest Common Factor of 790,214

To find the highest common factor of 790,214, 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 214 are 1, 2, 107, 214

The HCF of 790,214 is 2.

Lets's calculate GCF of 790,214

Greatest Common Factor (GCF) of 790,214 By Common Division

2 790, 214
395, 107

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

Greatest Common Factor of 790,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,214 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 214

:

1,2,107,214

Greatest Common Factor

We found the factors 790,214 . The biggest common factor number is the GCF number.
So the greatest common factor 790,214 is 2.

Lets's calculate LCM of 402,941

Lowest Common Multiple of 402,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 378282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/378282

Therefore, the GCF of Fractions 790/402,214/941 is 2/378282

Least Common Multiple of 402,941 with GCF Formula

Least Common Multiple of 402,941 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 402,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,941) = 1

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

GCF(402,941) x common factors =1 x 1 = 1

LCM(402,941) = ( 402 × 941 ) / 1

LCM(402,941) = 378282 / 1

LCM(402,941) = 378282


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FAQs on GCF of Fractions of 790/402, 214/941

1. What is the HCF of 790,214?

The HCF of 790,214 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 790/402, 214/941?

Answer: GCF of Numerators as per given numbers 790/402, 214/941 is

GCF of Numerators i.e. for 790,214 is 2

LCM of denominators i.e. for 402,941 is 378282.

Thus, GCF of Fractions is 2/378282.Finally, GCF of Fractions for 790/402, 214/941 is 2/378282.