How to Find GCF of 6230/677, 5930/587?

GCF of 6230/677, 5930/587

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 6230/677, 5930/587 i.e 10/397399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6230/677, 5930/587.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6230/677,5930/587?

Given fractions are 6230/677,5930/587

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 6230/677,5930/587, numerators are 6230,5930

Denominators are 677,587

The GCF of 6230,5930 is 10 .

LCM of 677,587 is 397399.

The greatest common factor of 6230/677,5930/587 = [GCF of 6230,5930]/[LCM of 677,587]= 10/397399

Therefore, the GCF of 6230/677,5930/587 is 10/397399.

Greatest Common Factor of 6230,5930

To find the highest common factor of 6230,5930, we have to find the factors of both numbers and list the highest common factor.

The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230

The factors of 5930 are 1, 2, 5, 10, 593, 1186, 2965, 5930

The HCF of 6230,5930 is 10.

Lets's calculate GCF of 6230,5930

Greatest Common Factor (GCF) of 6230,5930 By Common Division

2	6230, 5930
5	3115, 2965
	623, 593

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6230,5930 By Matching Biggest Common Factor Method

Now, list down the factors of 6230

1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230

Now, list down the factors of 5930

1,2,5,10,593,1186,2965,5930

Greatest Common Factor

We found the factors 6230,5930 . The biggest common factor number is the GCF number.
So the greatest common factor 6230,5930 is 10.

Lets's calculate LCM of 677,587

Lowest Common Multiple of 677,587 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 397399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/397399

Therefore, the GCF of Fractions 6230/677,5930/587 is 10/397399

Least Common Multiple of 677,587 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 677,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,587) = 1

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

GCF(677,587) x common factors =1 x 1 = 1

LCM(677,587) = ( 677 × 587 ) / 1

LCM(677,587) = 397399 / 1

LCM(677,587) = 397399

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FAQs on GCF of Fractions of 6230/677, 5930/587

1. What is the HCF of 6230,5930?

The HCF of 6230,5930 is 10

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 6230/677, 5930/587?

Answer: GCF of Numerators as per given numbers 6230/677, 5930/587 is

GCF of Numerators i.e. for 6230,5930 is 10

LCM of denominators i.e. for 677,587 is 397399.

Thus, GCF of Fractions is 10/397399.Finally, GCF of Fractions for 6230/677, 5930/587 is 10/397399.