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GCF of 790/281, 942/445

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 790/281, 942/445 i.e 2/125045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/281, 942/445.

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 790/281,942/445?

Given fractions are 790/281,942/445

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 790/281,942/445, numerators are 790,942

Denominators are 281,445

The GCF of 790,942 is 2 .

LCM of 281,445 is 125045.

The greatest common factor of 790/281,942/445 = [GCF of 790,942]/[LCM of 281,445]= 2/125045

Therefore, the GCF of 790/281,942/445 is 2/125045.

Greatest Common Factor of 790,942

To find the highest common factor of 790,942, 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 942 are 1, 2, 3, 6, 157, 314, 471, 942

The HCF of 790,942 is 2.

Lets's calculate GCF of 790,942

Greatest Common Factor (GCF) of 790,942 By Common Division

2 790, 942
395, 471

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

Greatest Common Factor of 790,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,942 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 942

:

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 790,942 . The biggest common factor number is the GCF number.
So the greatest common factor 790,942 is 2.

Lets's calculate LCM of 281,445

Lowest Common Multiple of 281,445 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 125045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125045

Therefore, the GCF of Fractions 790/281,942/445 is 2/125045

Least Common Multiple of 281,445 with GCF Formula

Least Common Multiple of 281,445 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 281,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,445) = 1

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

GCF(281,445) x common factors =1 x 1 = 1

LCM(281,445) = ( 281 × 445 ) / 1

LCM(281,445) = 125045 / 1

LCM(281,445) = 125045


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FAQs on GCF of Fractions of 790/281, 942/445

1. What is the HCF of 790,942?

The HCF of 790,942 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 790/281, 942/445?

Answer: GCF of Numerators as per given numbers 790/281, 942/445 is

GCF of Numerators i.e. for 790,942 is 2

LCM of denominators i.e. for 281,445 is 125045.

Thus, GCF of Fractions is 2/125045.Finally, GCF of Fractions for 790/281, 942/445 is 2/125045.