How to Find GCF of 294/649, 425/926?

GCF of 294/649, 425/926

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 294/649, 425/926 i.e 1/600974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/649, 425/926.

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 294/649,425/926?

Given fractions are 294/649,425/926

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 294/649,425/926, numerators are 294,425

Denominators are 649,926

The GCF of 294,425 is 1 .

LCM of 649,926 is 600974.

The greatest common factor of 294/649,425/926 = [GCF of 294,425]/[LCM of 649,926]= 1/600974

Therefore, the GCF of 294/649,425/926 is 1/600974.

Greatest Common Factor of 294,425

To find the highest common factor of 294,425, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 425 are 1, 5, 17, 25, 85, 425

The HCF of 294,425 is 1.

Lets's calculate GCF of 294,425

Greatest Common Factor (GCF) of 294,425 By Common Division

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

Greatest Common Factor of 294,425 By Matching Biggest Common Factor Method

Now, list down the factors of 294

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 425

1,5,17,25,85,425

Greatest Common Factor

We found the factors 294,425 . The biggest common factor number is the GCF number.
So the greatest common factor 294,425 is 1.

Lets's calculate LCM of 649,926

Lowest Common Multiple of 649,926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 600974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600974

Therefore, the GCF of Fractions 294/649,425/926 is 1/600974

Least Common Multiple of 649,926 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 649,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,926) = 1

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

GCF(649,926) x common factors =1 x 1 = 1

LCM(649,926) = ( 649 × 926 ) / 1

LCM(649,926) = 600974 / 1

LCM(649,926) = 600974

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FAQs on GCF of Fractions of 294/649, 425/926

1. What is the HCF of 294,425?

The HCF of 294,425 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 294/649, 425/926?

Answer: GCF of Numerators as per given numbers 294/649, 425/926 is

GCF of Numerators i.e. for 294,425 is 1

LCM of denominators i.e. for 649,926 is 600974.

Thus, GCF of Fractions is 1/600974.Finally, GCF of Fractions for 294/649, 425/926 is 1/600974.