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GCF of 859/652, 4429/652

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 859/652, 4429/652 i.e 1/652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 859/652, 4429/652.

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 859/652,4429/652?

Given fractions are 859/652,4429/652

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 859/652,4429/652, numerators are 859,4429

Denominators are 652,652

The GCF of 859,4429 is 1 .

LCM of 652,652 is 652.

The greatest common factor of 859/652,4429/652 = [GCF of 859,4429]/[LCM of 652,652]= 1/652

Therefore, the GCF of 859/652,4429/652 is 1/652.

Greatest Common Factor of 859,4429

To find the highest common factor of 859,4429, we have to find the factors of both numbers and list the highest common factor.

The factors of 859 are 1, 859

The factors of 4429 are 1, 43, 103, 4429

The HCF of 859,4429 is 1.

Lets's calculate GCF of 859,4429

Greatest Common Factor (GCF) of 859,4429 By Common Division

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

Greatest Common Factor of 859,4429 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,4429 By Matching Biggest Common Factor Method

Now, list down the factors of 859

:

1,859

Now, list down the factors of 4429

:

1,43,103,4429

Greatest Common Factor

We found the factors 859,4429 . The biggest common factor number is the GCF number.
So the greatest common factor 859,4429 is 1.

Lets's calculate LCM of 652,652

Lowest Common Multiple of 652,652 using Common Division

2 652, 652
2 326, 326
163 163, 163
1, 1

∴ So the LCM of the given numbers is 2 x 2 x 163 x 1 x 1 = 652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652

Therefore, the GCF of Fractions 859/652,4429/652 is 1/652

Least Common Multiple of 652,652 with GCF Formula

Least Common Multiple of 652,652 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 652,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,652) = 652

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

GCF(652,652) x common factors =652 x 1 = 652

LCM(652,652) = ( 652 × 652 ) / 652

LCM(652,652) = 425104 / 652

LCM(652,652) = 652


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FAQs on GCF of Fractions of 859/652, 4429/652

1. What is the HCF of 859,4429?

The HCF of 859,4429 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 859/652, 4429/652?

Answer: GCF of Numerators as per given numbers 859/652, 4429/652 is

GCF of Numerators i.e. for 859,4429 is 1

LCM of denominators i.e. for 652,652 is 652.

Thus, GCF of Fractions is 1/652.Finally, GCF of Fractions for 859/652, 4429/652 is 1/652.