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GCF of 424/25, 126/7046

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 424/25, 126/7046 i.e 2/176150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/25, 126/7046.

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 424/25,126/7046?

Given fractions are 424/25,126/7046

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 424/25,126/7046, numerators are 424,126

Denominators are 25,7046

The GCF of 424,126 is 2 .

LCM of 25,7046 is 176150.

The greatest common factor of 424/25,126/7046 = [GCF of 424,126]/[LCM of 25,7046]= 2/176150

Therefore, the GCF of 424/25,126/7046 is 2/176150.

Greatest Common Factor of 424,126

To find the highest common factor of 424,126, we have to find the factors of both numbers and list the highest common factor.

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The HCF of 424,126 is 2.

Lets's calculate GCF of 424,126

Greatest Common Factor (GCF) of 424,126 By Common Division

2 424, 126
212, 63

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

Greatest Common Factor of 424,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,126 By Matching Biggest Common Factor Method

Now, list down the factors of 424

:

1,2,4,8,53,106,212,424

Now, list down the factors of 126

:

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 424,126 . The biggest common factor number is the GCF number.
So the greatest common factor 424,126 is 2.

Lets's calculate LCM of 25,7046

Lowest Common Multiple of 25,7046 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 176150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176150

Therefore, the GCF of Fractions 424/25,126/7046 is 2/176150

Least Common Multiple of 25,7046 with GCF Formula

Least Common Multiple of 25,7046 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 25,7046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,7046) = 1

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

GCF(25,7046) x common factors =1 x 1 = 1

LCM(25,7046) = ( 25 × 7046 ) / 1

LCM(25,7046) = 176150 / 1

LCM(25,7046) = 176150


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FAQs on GCF of Fractions of 424/25, 126/7046

1. What is the HCF of 424,126?

The HCF of 424,126 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 424/25, 126/7046?

Answer: GCF of Numerators as per given numbers 424/25, 126/7046 is

GCF of Numerators i.e. for 424,126 is 2

LCM of denominators i.e. for 25,7046 is 176150.

Thus, GCF of Fractions is 2/176150.Finally, GCF of Fractions for 424/25, 126/7046 is 2/176150.