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GCF of 858/92, 613/580

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 858/92, 613/580 i.e 1/13340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 858/92, 613/580.

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 858/92,613/580?

Given fractions are 858/92,613/580

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 858/92,613/580, numerators are 858,613

Denominators are 92,580

The GCF of 858,613 is 1 .

LCM of 92,580 is 13340.

The greatest common factor of 858/92,613/580 = [GCF of 858,613]/[LCM of 92,580]= 1/13340

Therefore, the GCF of 858/92,613/580 is 1/13340.

Greatest Common Factor of 858,613

To find the highest common factor of 858,613, we have to find the factors of both numbers and list the highest common factor.

The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

The factors of 613 are 1, 613

The HCF of 858,613 is 1.

Lets's calculate GCF of 858,613

Greatest Common Factor (GCF) of 858,613 By Common Division

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

Greatest Common Factor of 858,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,613 By Matching Biggest Common Factor Method

Now, list down the factors of 858

:

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Now, list down the factors of 613

:

1,613

Greatest Common Factor

We found the factors 858,613 . The biggest common factor number is the GCF number.
So the greatest common factor 858,613 is 1.

Lets's calculate LCM of 92,580

Lowest Common Multiple of 92,580 using Common Division

2 92, 580
2 46, 290
23, 145

∴ So the LCM of the given numbers is 2 x 2 x 23 x 145 = 13340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13340

Therefore, the GCF of Fractions 858/92,613/580 is 1/13340

Least Common Multiple of 92,580 with GCF Formula

Least Common Multiple of 92,580 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 92,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,580) = 4

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

GCF(92,580) x common factors =4 x 1 = 4

LCM(92,580) = ( 92 × 580 ) / 4

LCM(92,580) = 53360 / 4

LCM(92,580) = 13340


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FAQs on GCF of Fractions of 858/92, 613/580

1. What is the HCF of 858,613?

The HCF of 858,613 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 858/92, 613/580?

Answer: GCF of Numerators as per given numbers 858/92, 613/580 is

GCF of Numerators i.e. for 858,613 is 1

LCM of denominators i.e. for 92,580 is 13340.

Thus, GCF of Fractions is 1/13340.Finally, GCF of Fractions for 858/92, 613/580 is 1/13340.