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GCF of 870/852, 301/821

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 870/852, 301/821 i.e 1/699492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 870/852, 301/821.

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 870/852,301/821?

Given fractions are 870/852,301/821

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 870/852,301/821, numerators are 870,301

Denominators are 852,821

The GCF of 870,301 is 1 .

LCM of 852,821 is 699492.

The greatest common factor of 870/852,301/821 = [GCF of 870,301]/[LCM of 852,821]= 1/699492

Therefore, the GCF of 870/852,301/821 is 1/699492.

Greatest Common Factor of 870,301

To find the highest common factor of 870,301, we have to find the factors of both numbers and list the highest common factor.

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The factors of 301 are 1, 7, 43, 301

The HCF of 870,301 is 1.

Lets's calculate GCF of 870,301

Greatest Common Factor (GCF) of 870,301 By Common Division

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

Greatest Common Factor of 870,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,301 By Matching Biggest Common Factor Method

Now, list down the factors of 870

:

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Now, list down the factors of 301

:

1,7,43,301

Greatest Common Factor

We found the factors 870,301 . The biggest common factor number is the GCF number.
So the greatest common factor 870,301 is 1.

Lets's calculate LCM of 852,821

Lowest Common Multiple of 852,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 699492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699492

Therefore, the GCF of Fractions 870/852,301/821 is 1/699492

Least Common Multiple of 852,821 with GCF Formula

Least Common Multiple of 852,821 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 852,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,821) = 1

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

GCF(852,821) x common factors =1 x 1 = 1

LCM(852,821) = ( 852 × 821 ) / 1

LCM(852,821) = 699492 / 1

LCM(852,821) = 699492


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FAQs on GCF of Fractions of 870/852, 301/821

1. What is the HCF of 870,301?

The HCF of 870,301 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 870/852, 301/821?

Answer: GCF of Numerators as per given numbers 870/852, 301/821 is

GCF of Numerators i.e. for 870,301 is 1

LCM of denominators i.e. for 852,821 is 699492.

Thus, GCF of Fractions is 1/699492.Finally, GCF of Fractions for 870/852, 301/821 is 1/699492.