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GCF of 851/304, 105/311

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 851/304, 105/311 i.e 1/94544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/304, 105/311.

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 851/304,105/311?

Given fractions are 851/304,105/311

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 851/304,105/311, numerators are 851,105

Denominators are 304,311

The GCF of 851,105 is 1 .

LCM of 304,311 is 94544.

The greatest common factor of 851/304,105/311 = [GCF of 851,105]/[LCM of 304,311]= 1/94544

Therefore, the GCF of 851/304,105/311 is 1/94544.

Greatest Common Factor of 851,105

To find the highest common factor of 851,105, we have to find the factors of both numbers and list the highest common factor.

The factors of 851 are 1, 23, 37, 851

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105

The HCF of 851,105 is 1.

Lets's calculate GCF of 851,105

Greatest Common Factor (GCF) of 851,105 By Common Division

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

Greatest Common Factor of 851,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,105 By Matching Biggest Common Factor Method

Now, list down the factors of 851

:

1,23,37,851

Now, list down the factors of 105

:

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 851,105 . The biggest common factor number is the GCF number.
So the greatest common factor 851,105 is 1.

Lets's calculate LCM of 304,311

Lowest Common Multiple of 304,311 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 94544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94544

Therefore, the GCF of Fractions 851/304,105/311 is 1/94544

Least Common Multiple of 304,311 with GCF Formula

Least Common Multiple of 304,311 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 304,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,311) = 1

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

GCF(304,311) x common factors =1 x 1 = 1

LCM(304,311) = ( 304 × 311 ) / 1

LCM(304,311) = 94544 / 1

LCM(304,311) = 94544


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FAQs on GCF of Fractions of 851/304, 105/311

1. What is the HCF of 851,105?

The HCF of 851,105 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 851/304, 105/311?

Answer: GCF of Numerators as per given numbers 851/304, 105/311 is

GCF of Numerators i.e. for 851,105 is 1

LCM of denominators i.e. for 304,311 is 94544.

Thus, GCF of Fractions is 1/94544.Finally, GCF of Fractions for 851/304, 105/311 is 1/94544.