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GCF of 907/584, 6644/562

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 907/584, 6644/562 i.e 1/164104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/584, 6644/562.

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 907/584,6644/562?

Given fractions are 907/584,6644/562

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 907/584,6644/562, numerators are 907,6644

Denominators are 584,562

The GCF of 907,6644 is 1 .

LCM of 584,562 is 164104.

The greatest common factor of 907/584,6644/562 = [GCF of 907,6644]/[LCM of 584,562]= 1/164104

Therefore, the GCF of 907/584,6644/562 is 1/164104.

Greatest Common Factor of 907,6644

To find the highest common factor of 907,6644, we have to find the factors of both numbers and list the highest common factor.

The factors of 907 are 1, 907

The factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644

The HCF of 907,6644 is 1.

Lets's calculate GCF of 907,6644

Greatest Common Factor (GCF) of 907,6644 By Common Division

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

Greatest Common Factor of 907,6644 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,6644 By Matching Biggest Common Factor Method

Now, list down the factors of 907

:

1,907

Now, list down the factors of 6644

:

1,2,4,11,22,44,151,302,604,1661,3322,6644

Greatest Common Factor

We found the factors 907,6644 . The biggest common factor number is the GCF number.
So the greatest common factor 907,6644 is 1.

Lets's calculate LCM of 584,562

Lowest Common Multiple of 584,562 using Common Division

2 584, 562
292, 281

∴ So the LCM of the given numbers is 2 x 292 x 281 = 164104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164104

Therefore, the GCF of Fractions 907/584,6644/562 is 1/164104

Least Common Multiple of 584,562 with GCF Formula

Least Common Multiple of 584,562 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 584,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,562) = 2

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

GCF(584,562) x common factors =2 x 1 = 2

LCM(584,562) = ( 584 × 562 ) / 2

LCM(584,562) = 328208 / 2

LCM(584,562) = 164104


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FAQs on GCF of Fractions of 907/584, 6644/562

1. What is the HCF of 907,6644?

The HCF of 907,6644 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 907/584, 6644/562?

Answer: GCF of Numerators as per given numbers 907/584, 6644/562 is

GCF of Numerators i.e. for 907,6644 is 1

LCM of denominators i.e. for 584,562 is 164104.

Thus, GCF of Fractions is 1/164104.Finally, GCF of Fractions for 907/584, 6644/562 is 1/164104.