How to Find GCF of 834/661, 293/536, 652/431?

GCF of 834/661, 293/536, 652/431

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 834/661, 293/536, 652/431 i.e 1/152701576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/661, 293/536, 652/431.

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 834/661,293/536,652/431?

Given fractions are 834/661,293/536,652/431

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 834/661,293/536,652/431, numerators are 834,293,652

Denominators are 661,536,431

The GCF of 834,293,652 is 1 .

LCM of 661,536,431 is 152701576.

The greatest common factor of 834/661,293/536,652/431 = [GCF of 834,293,652]/[LCM of 661,536,431]= 1/152701576

Therefore, the GCF of 834/661,293/536,652/431 is 1/152701576.

Greatest Common Factor of 834,293,652

To find the highest common factor of 834,293,652, we have to find the factors of both numbers and list the highest common factor.

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The factors of 293 are 1, 293

The factors of 652 are 1, 2, 4, 163, 326, 652

The HCF of 834,293,652 is 1.

Lets's calculate GCF of 834,293,652

Greatest Common Factor (GCF) of 834,293,652 By Common Division

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

Greatest Common Factor of 834,293,652 By Matching Biggest Common Factor Method

Now, list down the factors of 834

1,2,3,6,139,278,417,834

Now, list down the factors of 293

1,293

Now, list down the factors of 652

1,2,4,163,326,652

Greatest Common Factor

We found the factors 834,293,652 . The biggest common factor number is the GCF number.
So the greatest common factor 834,293,652 is 1.

Lets's calculate LCM of 661,536,431

Lowest Common Multiple of 661,536,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 152701576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152701576

Therefore, the GCF of Fractions 834/661,293/536,652/431 is 1/152701576

Least Common Multiple of 661,536,431 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 661,536,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,536,431) = 1

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

GCF(661,536,431) x common factors =1 x 1 = 1

LCM(661,536,431) = ( 661 × 536 × 431 ) / 1

LCM(661,536,431) = 152701576 / 1

LCM(661,536,431) = 152701576

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 834/661, 293/536, 652/431

1. What is the HCF of 834,293,652?

The HCF of 834,293,652 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 834/661, 293/536, 652/431?

Answer: GCF of Numerators as per given numbers 834/661, 293/536, 652/431 is

GCF of Numerators i.e. for 834,293,652 is 1

LCM of denominators i.e. for 661,536,431 is 152701576.

Thus, GCF of Fractions is 1/152701576.Finally, GCF of Fractions for 834/661, 293/536, 652/431 is 1/152701576.