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GCF of 532/794, 7655/834

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 532/794, 7655/834 i.e 1/331098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/794, 7655/834.

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 532/794,7655/834?

Given fractions are 532/794,7655/834

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 532/794,7655/834, numerators are 532,7655

Denominators are 794,834

The GCF of 532,7655 is 1 .

LCM of 794,834 is 331098.

The greatest common factor of 532/794,7655/834 = [GCF of 532,7655]/[LCM of 794,834]= 1/331098

Therefore, the GCF of 532/794,7655/834 is 1/331098.

Greatest Common Factor of 532,7655

To find the highest common factor of 532,7655, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 7655 are 1, 5, 1531, 7655

The HCF of 532,7655 is 1.

Lets's calculate GCF of 532,7655

Greatest Common Factor (GCF) of 532,7655 By Common Division

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

Greatest Common Factor of 532,7655 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,7655 By Matching Biggest Common Factor Method

Now, list down the factors of 532

:

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 7655

:

1,5,1531,7655

Greatest Common Factor

We found the factors 532,7655 . The biggest common factor number is the GCF number.
So the greatest common factor 532,7655 is 1.

Lets's calculate LCM of 794,834

Lowest Common Multiple of 794,834 using Common Division

2 794, 834
397, 417

∴ So the LCM of the given numbers is 2 x 397 x 417 = 331098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331098

Therefore, the GCF of Fractions 532/794,7655/834 is 1/331098

Least Common Multiple of 794,834 with GCF Formula

Least Common Multiple of 794,834 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 794,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,834) = 2

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

GCF(794,834) x common factors =2 x 1 = 2

LCM(794,834) = ( 794 × 834 ) / 2

LCM(794,834) = 662196 / 2

LCM(794,834) = 331098


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FAQs on GCF of Fractions of 532/794, 7655/834

1. What is the HCF of 532,7655?

The HCF of 532,7655 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 532/794, 7655/834?

Answer: GCF of Numerators as per given numbers 532/794, 7655/834 is

GCF of Numerators i.e. for 532,7655 is 1

LCM of denominators i.e. for 794,834 is 331098.

Thus, GCF of Fractions is 1/331098.Finally, GCF of Fractions for 532/794, 7655/834 is 1/331098.