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GCF of 889/624, 611/504

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 889/624, 611/504 i.e 1/13104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/624, 611/504.

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 889/624,611/504?

Given fractions are 889/624,611/504

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 889/624,611/504, numerators are 889,611

Denominators are 624,504

The GCF of 889,611 is 1 .

LCM of 624,504 is 13104.

The greatest common factor of 889/624,611/504 = [GCF of 889,611]/[LCM of 624,504]= 1/13104

Therefore, the GCF of 889/624,611/504 is 1/13104.

Greatest Common Factor of 889,611

To find the highest common factor of 889,611, we have to find the factors of both numbers and list the highest common factor.

The factors of 889 are 1, 7, 127, 889

The factors of 611 are 1, 13, 47, 611

The HCF of 889,611 is 1.

Lets's calculate GCF of 889,611

Greatest Common Factor (GCF) of 889,611 By Common Division

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

Greatest Common Factor of 889,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,611 By Matching Biggest Common Factor Method

Now, list down the factors of 889

:

1,7,127,889

Now, list down the factors of 611

:

1,13,47,611

Greatest Common Factor

We found the factors 889,611 . The biggest common factor number is the GCF number.
So the greatest common factor 889,611 is 1.

Lets's calculate LCM of 624,504

Lowest Common Multiple of 624,504 using Common Division

2 624, 504
2 312, 252
2 156, 126
3 78, 63
26, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 26 x 21 = 13104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13104

Therefore, the GCF of Fractions 889/624,611/504 is 1/13104

Least Common Multiple of 624,504 with GCF Formula

Least Common Multiple of 624,504 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 624,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,504) = 24

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

GCF(624,504) x common factors =24 x 1 = 24

LCM(624,504) = ( 624 × 504 ) / 24

LCM(624,504) = 314496 / 24

LCM(624,504) = 13104


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FAQs on GCF of Fractions of 889/624, 611/504

1. What is the HCF of 889,611?

The HCF of 889,611 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 889/624, 611/504?

Answer: GCF of Numerators as per given numbers 889/624, 611/504 is

GCF of Numerators i.e. for 889,611 is 1

LCM of denominators i.e. for 624,504 is 13104.

Thus, GCF of Fractions is 1/13104.Finally, GCF of Fractions for 889/624, 611/504 is 1/13104.