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GCF of 895/285, 296/109

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 895/285, 296/109 i.e 1/31065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/285, 296/109.

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 895/285,296/109?

Given fractions are 895/285,296/109

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 895/285,296/109, numerators are 895,296

Denominators are 285,109

The GCF of 895,296 is 1 .

LCM of 285,109 is 31065.

The greatest common factor of 895/285,296/109 = [GCF of 895,296]/[LCM of 285,109]= 1/31065

Therefore, the GCF of 895/285,296/109 is 1/31065.

Greatest Common Factor of 895,296

To find the highest common factor of 895,296, we have to find the factors of both numbers and list the highest common factor.

The factors of 895 are 1, 5, 179, 895

The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296

The HCF of 895,296 is 1.

Lets's calculate GCF of 895,296

Greatest Common Factor (GCF) of 895,296 By Common Division

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

Greatest Common Factor of 895,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,296 By Matching Biggest Common Factor Method

Now, list down the factors of 895

:

1,5,179,895

Now, list down the factors of 296

:

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 895,296 . The biggest common factor number is the GCF number.
So the greatest common factor 895,296 is 1.

Lets's calculate LCM of 285,109

Lowest Common Multiple of 285,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31065

Therefore, the GCF of Fractions 895/285,296/109 is 1/31065

Least Common Multiple of 285,109 with GCF Formula

Least Common Multiple of 285,109 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 285,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,109) = 1

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

GCF(285,109) x common factors =1 x 1 = 1

LCM(285,109) = ( 285 × 109 ) / 1

LCM(285,109) = 31065 / 1

LCM(285,109) = 31065


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FAQs on GCF of Fractions of 895/285, 296/109

1. What is the HCF of 895,296?

The HCF of 895,296 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 895/285, 296/109?

Answer: GCF of Numerators as per given numbers 895/285, 296/109 is

GCF of Numerators i.e. for 895,296 is 1

LCM of denominators i.e. for 285,109 is 31065.

Thus, GCF of Fractions is 1/31065.Finally, GCF of Fractions for 895/285, 296/109 is 1/31065.