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GCF of 639/17, 829/534

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 639/17, 829/534 i.e 1/9078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 639/17, 829/534.

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 639/17,829/534?

Given fractions are 639/17,829/534

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 639/17,829/534, numerators are 639,829

Denominators are 17,534

The GCF of 639,829 is 1 .

LCM of 17,534 is 9078.

The greatest common factor of 639/17,829/534 = [GCF of 639,829]/[LCM of 17,534]= 1/9078

Therefore, the GCF of 639/17,829/534 is 1/9078.

Greatest Common Factor of 639,829

To find the highest common factor of 639,829, we have to find the factors of both numbers and list the highest common factor.

The factors of 639 are 1, 3, 9, 71, 213, 639

The factors of 829 are 1, 829

The HCF of 639,829 is 1.

Lets's calculate GCF of 639,829

Greatest Common Factor (GCF) of 639,829 By Common Division

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

Greatest Common Factor of 639,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,829 By Matching Biggest Common Factor Method

Now, list down the factors of 639

:

1,3,9,71,213,639

Now, list down the factors of 829

:

1,829

Greatest Common Factor

We found the factors 639,829 . The biggest common factor number is the GCF number.
So the greatest common factor 639,829 is 1.

Lets's calculate LCM of 17,534

Lowest Common Multiple of 17,534 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9078

Therefore, the GCF of Fractions 639/17,829/534 is 1/9078

Least Common Multiple of 17,534 with GCF Formula

Least Common Multiple of 17,534 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 17,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,534) = 1

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

GCF(17,534) x common factors =1 x 1 = 1

LCM(17,534) = ( 17 × 534 ) / 1

LCM(17,534) = 9078 / 1

LCM(17,534) = 9078


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FAQs on GCF of Fractions of 639/17, 829/534

1. What is the HCF of 639,829?

The HCF of 639,829 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 639/17, 829/534?

Answer: GCF of Numerators as per given numbers 639/17, 829/534 is

GCF of Numerators i.e. for 639,829 is 1

LCM of denominators i.e. for 17,534 is 9078.

Thus, GCF of Fractions is 1/9078.Finally, GCF of Fractions for 639/17, 829/534 is 1/9078.