How to Find GCF of 790/151, 6994/9015?

GCF of 790/151, 6994/9015

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 790/151, 6994/9015 i.e 2/1361265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/151, 6994/9015.

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 790/151,6994/9015?

Given fractions are 790/151,6994/9015

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 790/151,6994/9015, numerators are 790,6994

Denominators are 151,9015

The GCF of 790,6994 is 2 .

LCM of 151,9015 is 1361265.

The greatest common factor of 790/151,6994/9015 = [GCF of 790,6994]/[LCM of 151,9015]= 2/1361265

Therefore, the GCF of 790/151,6994/9015 is 2/1361265.

Greatest Common Factor of 790,6994

To find the highest common factor of 790,6994, we have to find the factors of both numbers and list the highest common factor.

The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790

The factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994

The HCF of 790,6994 is 2.

Lets's calculate GCF of 790,6994

Greatest Common Factor (GCF) of 790,6994 By Common Division

2	790, 6994
	395, 3497

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

Greatest Common Factor of 790,6994 By Matching Biggest Common Factor Method

Now, list down the factors of 790

1,2,5,10,79,158,395,790

Now, list down the factors of 6994

1,2,13,26,269,538,3497,6994

Greatest Common Factor

We found the factors 790,6994 . The biggest common factor number is the GCF number.
So the greatest common factor 790,6994 is 2.

Lets's calculate LCM of 151,9015

Lowest Common Multiple of 151,9015 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1361265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1361265

Therefore, the GCF of Fractions 790/151,6994/9015 is 2/1361265

Least Common Multiple of 151,9015 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 151,9015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,9015) = 1

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

GCF(151,9015) x common factors =1 x 1 = 1

LCM(151,9015) = ( 151 × 9015 ) / 1

LCM(151,9015) = 1361265 / 1

LCM(151,9015) = 1361265

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 790/151, 6994/9015

1. What is the HCF of 790,6994?

The HCF of 790,6994 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 790/151, 6994/9015?

Answer: GCF of Numerators as per given numbers 790/151, 6994/9015 is

GCF of Numerators i.e. for 790,6994 is 2

LCM of denominators i.e. for 151,9015 is 1361265.

Thus, GCF of Fractions is 2/1361265.Finally, GCF of Fractions for 790/151, 6994/9015 is 2/1361265.