How to Find GCF of 8234/695, 4654/791?

GCF of 8234/695, 4654/791

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 8234/695, 4654/791 i.e 358/549745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8234/695, 4654/791.

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 8234/695,4654/791?

Given fractions are 8234/695,4654/791

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 8234/695,4654/791, numerators are 8234,4654

Denominators are 695,791

The GCF of 8234,4654 is 358 .

LCM of 695,791 is 549745.

The greatest common factor of 8234/695,4654/791 = [GCF of 8234,4654]/[LCM of 695,791]= 358/549745

Therefore, the GCF of 8234/695,4654/791 is 358/549745.

Greatest Common Factor of 8234,4654

To find the highest common factor of 8234,4654, we have to find the factors of both numbers and list the highest common factor.

The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234

The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654

The HCF of 8234,4654 is 358.

Lets's calculate GCF of 8234,4654

Greatest Common Factor (GCF) of 8234,4654 By Common Division

2	8234, 4654
179	4117, 2327
	23, 13

∴ So the GCF of the given numbers is 2 x 179 = 358

Greatest Common Factor of 8234,4654 By Matching Biggest Common Factor Method

Now, list down the factors of 8234

1,2,23,46,179,358,4117,8234

Now, list down the factors of 4654

1,2,13,26,179,358,2327,4654

Greatest Common Factor

We found the factors 8234,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,4654 is 358.

Lets's calculate LCM of 695,791

Lowest Common Multiple of 695,791 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 549745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 358/549745

Therefore, the GCF of Fractions 8234/695,4654/791 is 358/549745

Least Common Multiple of 695,791 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 695,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,791) = 1

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

GCF(695,791) x common factors =1 x 1 = 1

LCM(695,791) = ( 695 × 791 ) / 1

LCM(695,791) = 549745 / 1

LCM(695,791) = 549745

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FAQs on GCF of Fractions of 8234/695, 4654/791

1. What is the HCF of 8234,4654?

The HCF of 8234,4654 is 358

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 8234/695, 4654/791?

Answer: GCF of Numerators as per given numbers 8234/695, 4654/791 is

GCF of Numerators i.e. for 8234,4654 is 358

LCM of denominators i.e. for 695,791 is 549745.

Thus, GCF of Fractions is 358/549745.Finally, GCF of Fractions for 8234/695, 4654/791 is 358/549745.