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GCF of 879/435, 406/870

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 879/435, 406/870 i.e 1/870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/435, 406/870.

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 879/435,406/870?

Given fractions are 879/435,406/870

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 879/435,406/870, numerators are 879,406

Denominators are 435,870

The GCF of 879,406 is 1 .

LCM of 435,870 is 870.

The greatest common factor of 879/435,406/870 = [GCF of 879,406]/[LCM of 435,870]= 1/870

Therefore, the GCF of 879/435,406/870 is 1/870.

Greatest Common Factor of 879,406

To find the highest common factor of 879,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 879 are 1, 3, 293, 879

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 879,406 is 1.

Lets's calculate GCF of 879,406

Greatest Common Factor (GCF) of 879,406 By Common Division

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

Greatest Common Factor of 879,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,406 By Matching Biggest Common Factor Method

Now, list down the factors of 879

:

1,3,293,879

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 879,406 . The biggest common factor number is the GCF number.
So the greatest common factor 879,406 is 1.

Lets's calculate LCM of 435,870

Lowest Common Multiple of 435,870 using Common Division

3 435, 870
5 145, 290
29 29, 58
1, 2

∴ So the LCM of the given numbers is 3 x 5 x 29 x 1 x 2 = 870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/870

Therefore, the GCF of Fractions 879/435,406/870 is 1/870

Least Common Multiple of 435,870 with GCF Formula

Least Common Multiple of 435,870 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 435,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,870) = 435

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

GCF(435,870) x common factors =435 x 1 = 435

LCM(435,870) = ( 435 × 870 ) / 435

LCM(435,870) = 378450 / 435

LCM(435,870) = 870


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FAQs on GCF of Fractions of 879/435, 406/870

1. What is the HCF of 879,406?

The HCF of 879,406 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 879/435, 406/870?

Answer: GCF of Numerators as per given numbers 879/435, 406/870 is

GCF of Numerators i.e. for 879,406 is 1

LCM of denominators i.e. for 435,870 is 870.

Thus, GCF of Fractions is 1/870.Finally, GCF of Fractions for 879/435, 406/870 is 1/870.