How to Find GCF of 6242/632, 6307/1129?

GCF of 6242/632, 6307/1129

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 6242/632, 6307/1129 i.e 1/713528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6242/632, 6307/1129.

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 6242/632,6307/1129?

Given fractions are 6242/632,6307/1129

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 6242/632,6307/1129, numerators are 6242,6307

Denominators are 632,1129

The GCF of 6242,6307 is 1 .

LCM of 632,1129 is 713528.

The greatest common factor of 6242/632,6307/1129 = [GCF of 6242,6307]/[LCM of 632,1129]= 1/713528

Therefore, the GCF of 6242/632,6307/1129 is 1/713528.

Greatest Common Factor of 6242,6307

To find the highest common factor of 6242,6307, we have to find the factors of both numbers and list the highest common factor.

The factors of 6242 are 1, 2, 3121, 6242

The factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307

The HCF of 6242,6307 is 1.

Lets's calculate GCF of 6242,6307

Greatest Common Factor (GCF) of 6242,6307 By Common Division

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

Greatest Common Factor of 6242,6307 By Matching Biggest Common Factor Method

Now, list down the factors of 6242

1,2,3121,6242

Now, list down the factors of 6307

1,7,17,53,119,371,901,6307

Greatest Common Factor

We found the factors 6242,6307 . The biggest common factor number is the GCF number.
So the greatest common factor 6242,6307 is 1.

Lets's calculate LCM of 632,1129

Lowest Common Multiple of 632,1129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 713528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/713528

Therefore, the GCF of Fractions 6242/632,6307/1129 is 1/713528

Least Common Multiple of 632,1129 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 632,1129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,1129) = 1

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

GCF(632,1129) x common factors =1 x 1 = 1

LCM(632,1129) = ( 632 × 1129 ) / 1

LCM(632,1129) = 713528 / 1

LCM(632,1129) = 713528

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FAQs on GCF of Fractions of 6242/632, 6307/1129

1. What is the HCF of 6242,6307?

The HCF of 6242,6307 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 6242/632, 6307/1129?

Answer: GCF of Numerators as per given numbers 6242/632, 6307/1129 is

GCF of Numerators i.e. for 6242,6307 is 1

LCM of denominators i.e. for 632,1129 is 713528.

Thus, GCF of Fractions is 1/713528.Finally, GCF of Fractions for 6242/632, 6307/1129 is 1/713528.