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GCF of 295/92, 571/858

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 295/92, 571/858 i.e 1/39468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 295/92, 571/858.

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 295/92,571/858?

Given fractions are 295/92,571/858

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 295/92,571/858, numerators are 295,571

Denominators are 92,858

The GCF of 295,571 is 1 .

LCM of 92,858 is 39468.

The greatest common factor of 295/92,571/858 = [GCF of 295,571]/[LCM of 92,858]= 1/39468

Therefore, the GCF of 295/92,571/858 is 1/39468.

Greatest Common Factor of 295,571

To find the highest common factor of 295,571, we have to find the factors of both numbers and list the highest common factor.

The factors of 295 are 1, 5, 59, 295

The factors of 571 are 1, 571

The HCF of 295,571 is 1.

Lets's calculate GCF of 295,571

Greatest Common Factor (GCF) of 295,571 By Common Division

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

Greatest Common Factor of 295,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,571 By Matching Biggest Common Factor Method

Now, list down the factors of 295

:

1,5,59,295

Now, list down the factors of 571

:

1,571

Greatest Common Factor

We found the factors 295,571 . The biggest common factor number is the GCF number.
So the greatest common factor 295,571 is 1.

Lets's calculate LCM of 92,858

Lowest Common Multiple of 92,858 using Common Division

2 92, 858
46, 429

∴ So the LCM of the given numbers is 2 x 46 x 429 = 39468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39468

Therefore, the GCF of Fractions 295/92,571/858 is 1/39468

Least Common Multiple of 92,858 with GCF Formula

Least Common Multiple of 92,858 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 92,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,858) = 2

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

GCF(92,858) x common factors =2 x 1 = 2

LCM(92,858) = ( 92 × 858 ) / 2

LCM(92,858) = 78936 / 2

LCM(92,858) = 39468


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FAQs on GCF of Fractions of 295/92, 571/858

1. What is the HCF of 295,571?

The HCF of 295,571 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 295/92, 571/858?

Answer: GCF of Numerators as per given numbers 295/92, 571/858 is

GCF of Numerators i.e. for 295,571 is 1

LCM of denominators i.e. for 92,858 is 39468.

Thus, GCF of Fractions is 1/39468.Finally, GCF of Fractions for 295/92, 571/858 is 1/39468.