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GCF of 426/76, 147/753

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 426/76, 147/753 i.e 3/57228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 426/76, 147/753.

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 426/76,147/753?

Given fractions are 426/76,147/753

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 426/76,147/753, numerators are 426,147

Denominators are 76,753

The GCF of 426,147 is 3 .

LCM of 76,753 is 57228.

The greatest common factor of 426/76,147/753 = [GCF of 426,147]/[LCM of 76,753]= 3/57228

Therefore, the GCF of 426/76,147/753 is 3/57228.

Greatest Common Factor of 426,147

To find the highest common factor of 426,147, we have to find the factors of both numbers and list the highest common factor.

The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426

The factors of 147 are 1, 3, 7, 21, 49, 147

The HCF of 426,147 is 3.

Lets's calculate GCF of 426,147

Greatest Common Factor (GCF) of 426,147 By Common Division

3 426, 147
142, 49

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 426,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,147 By Matching Biggest Common Factor Method

Now, list down the factors of 426

:

1,2,3,6,71,142,213,426

Now, list down the factors of 147

:

1,3,7,21,49,147

Greatest Common Factor

We found the factors 426,147 . The biggest common factor number is the GCF number.
So the greatest common factor 426,147 is 3.

Lets's calculate LCM of 76,753

Lowest Common Multiple of 76,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 57228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57228

Therefore, the GCF of Fractions 426/76,147/753 is 3/57228

Least Common Multiple of 76,753 with GCF Formula

Least Common Multiple of 76,753 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 76,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,753) = 1

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

GCF(76,753) x common factors =1 x 1 = 1

LCM(76,753) = ( 76 × 753 ) / 1

LCM(76,753) = 57228 / 1

LCM(76,753) = 57228


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FAQs on GCF of Fractions of 426/76, 147/753

1. What is the HCF of 426,147?

The HCF of 426,147 is 3

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 426/76, 147/753?

Answer: GCF of Numerators as per given numbers 426/76, 147/753 is

GCF of Numerators i.e. for 426,147 is 3

LCM of denominators i.e. for 76,753 is 57228.

Thus, GCF of Fractions is 3/57228.Finally, GCF of Fractions for 426/76, 147/753 is 3/57228.