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GCF of 1129/601, 8434/7626

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 1129/601, 8434/7626 i.e 1/4583226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1129/601, 8434/7626.

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 1129/601,8434/7626?

Given fractions are 1129/601,8434/7626

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 1129/601,8434/7626, numerators are 1129,8434

Denominators are 601,7626

The GCF of 1129,8434 is 1 .

LCM of 601,7626 is 4583226.

The greatest common factor of 1129/601,8434/7626 = [GCF of 1129,8434]/[LCM of 601,7626]= 1/4583226

Therefore, the GCF of 1129/601,8434/7626 is 1/4583226.

Greatest Common Factor of 1129,8434

To find the highest common factor of 1129,8434, we have to find the factors of both numbers and list the highest common factor.

The factors of 1129 are 1, 1129

The factors of 8434 are 1, 2, 4217, 8434

The HCF of 1129,8434 is 1.

Lets's calculate GCF of 1129,8434

Greatest Common Factor (GCF) of 1129,8434 By Common Division

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

Greatest Common Factor of 1129,8434 By Matching Biggest Common Factor Method

Greatest Common Factor of 1129,8434 By Matching Biggest Common Factor Method

Now, list down the factors of 1129

:

1,1129

Now, list down the factors of 8434

:

1,2,4217,8434

Greatest Common Factor

We found the factors 1129,8434 . The biggest common factor number is the GCF number.
So the greatest common factor 1129,8434 is 1.

Lets's calculate LCM of 601,7626

Lowest Common Multiple of 601,7626 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4583226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4583226

Therefore, the GCF of Fractions 1129/601,8434/7626 is 1/4583226

Least Common Multiple of 601,7626 with GCF Formula

Least Common Multiple of 601,7626 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 601,7626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,7626) = 1

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

GCF(601,7626) x common factors =1 x 1 = 1

LCM(601,7626) = ( 601 × 7626 ) / 1

LCM(601,7626) = 4583226 / 1

LCM(601,7626) = 4583226


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FAQs on GCF of Fractions of 1129/601, 8434/7626

1. What is the HCF of 1129,8434?

The HCF of 1129,8434 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 1129/601, 8434/7626?

Answer: GCF of Numerators as per given numbers 1129/601, 8434/7626 is

GCF of Numerators i.e. for 1129,8434 is 1

LCM of denominators i.e. for 601,7626 is 4583226.

Thus, GCF of Fractions is 1/4583226.Finally, GCF of Fractions for 1129/601, 8434/7626 is 1/4583226.