How to Find GCF of 1262/360, 7039/6568?

GCF of 1262/360, 7039/6568

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 1262/360, 7039/6568 i.e 1/295560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1262/360, 7039/6568.

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 1262/360,7039/6568?

Given fractions are 1262/360,7039/6568

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 1262/360,7039/6568, numerators are 1262,7039

Denominators are 360,6568

The GCF of 1262,7039 is 1 .

LCM of 360,6568 is 295560.

The greatest common factor of 1262/360,7039/6568 = [GCF of 1262,7039]/[LCM of 360,6568]= 1/295560

Therefore, the GCF of 1262/360,7039/6568 is 1/295560.

Greatest Common Factor of 1262,7039

To find the highest common factor of 1262,7039, we have to find the factors of both numbers and list the highest common factor.

The factors of 1262 are 1, 2, 631, 1262

The factors of 7039 are 1, 7039

The HCF of 1262,7039 is 1.

Lets's calculate GCF of 1262,7039

Greatest Common Factor (GCF) of 1262,7039 By Common Division

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

Greatest Common Factor of 1262,7039 By Matching Biggest Common Factor Method

Now, list down the factors of 1262

1,2,631,1262

Now, list down the factors of 7039

1,7039

Greatest Common Factor

We found the factors 1262,7039 . The biggest common factor number is the GCF number.
So the greatest common factor 1262,7039 is 1.

Lets's calculate LCM of 360,6568

Lowest Common Multiple of 360,6568 using Common Division

2	360, 6568
2	180, 3284
2	90, 1642
	45, 821

∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 821 = 295560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295560

Therefore, the GCF of Fractions 1262/360,7039/6568 is 1/295560

Least Common Multiple of 360,6568 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 360,6568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,6568) = 8

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

GCF(360,6568) x common factors =8 x 1 = 8

LCM(360,6568) = ( 360 × 6568 ) / 8

LCM(360,6568) = 2364480 / 8

LCM(360,6568) = 295560

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FAQs on GCF of Fractions of 1262/360, 7039/6568

1. What is the HCF of 1262,7039?

The HCF of 1262,7039 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 1262/360, 7039/6568?

Answer: GCF of Numerators as per given numbers 1262/360, 7039/6568 is

GCF of Numerators i.e. for 1262,7039 is 1

LCM of denominators i.e. for 360,6568 is 295560.

Thus, GCF of Fractions is 1/295560.Finally, GCF of Fractions for 1262/360, 7039/6568 is 1/295560.