How to Find GCF of 1270/439, 3658/7015?

GCF of 1270/439, 3658/7015

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 1270/439, 3658/7015 i.e 2/3079585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1270/439, 3658/7015.

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 1270/439,3658/7015?

Given fractions are 1270/439,3658/7015

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 1270/439,3658/7015, numerators are 1270,3658

Denominators are 439,7015

The GCF of 1270,3658 is 2 .

LCM of 439,7015 is 3079585.

The greatest common factor of 1270/439,3658/7015 = [GCF of 1270,3658]/[LCM of 439,7015]= 2/3079585

Therefore, the GCF of 1270/439,3658/7015 is 2/3079585.

Greatest Common Factor of 1270,3658

To find the highest common factor of 1270,3658, we have to find the factors of both numbers and list the highest common factor.

The factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270

The factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658

The HCF of 1270,3658 is 2.

Lets's calculate GCF of 1270,3658

Greatest Common Factor (GCF) of 1270,3658 By Common Division

2	1270, 3658
	635, 1829

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1270,3658 By Matching Biggest Common Factor Method

Now, list down the factors of 1270

1,2,5,10,127,254,635,1270

Now, list down the factors of 3658

1,2,31,59,62,118,1829,3658

Greatest Common Factor

We found the factors 1270,3658 . The biggest common factor number is the GCF number.
So the greatest common factor 1270,3658 is 2.

Lets's calculate LCM of 439,7015

Lowest Common Multiple of 439,7015 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3079585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3079585

Therefore, the GCF of Fractions 1270/439,3658/7015 is 2/3079585

Least Common Multiple of 439,7015 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 439,7015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,7015) = 1

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

GCF(439,7015) x common factors =1 x 1 = 1

LCM(439,7015) = ( 439 × 7015 ) / 1

LCM(439,7015) = 3079585 / 1

LCM(439,7015) = 3079585

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FAQs on GCF of Fractions of 1270/439, 3658/7015

1. What is the HCF of 1270,3658?

The HCF of 1270,3658 is 2

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 1270/439, 3658/7015?

Answer: GCF of Numerators as per given numbers 1270/439, 3658/7015 is

GCF of Numerators i.e. for 1270,3658 is 2

LCM of denominators i.e. for 439,7015 is 3079585.

Thus, GCF of Fractions is 2/3079585.Finally, GCF of Fractions for 1270/439, 3658/7015 is 2/3079585.