How to Find GCF of 770/191, 7582/7122?

GCF of 770/191, 7582/7122

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 770/191, 7582/7122 i.e 2/1360302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/191, 7582/7122.

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 770/191,7582/7122?

Given fractions are 770/191,7582/7122

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 770/191,7582/7122, numerators are 770,7582

Denominators are 191,7122

The GCF of 770,7582 is 2 .

LCM of 191,7122 is 1360302.

The greatest common factor of 770/191,7582/7122 = [GCF of 770,7582]/[LCM of 191,7122]= 2/1360302

Therefore, the GCF of 770/191,7582/7122 is 2/1360302.

Greatest Common Factor of 770,7582

To find the highest common factor of 770,7582, we have to find the factors of both numbers and list the highest common factor.

The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582

The HCF of 770,7582 is 2.

Lets's calculate GCF of 770,7582

Greatest Common Factor (GCF) of 770,7582 By Common Division

2	770, 7582
	385, 3791

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

Greatest Common Factor of 770,7582 By Matching Biggest Common Factor Method

Now, list down the factors of 770

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Now, list down the factors of 7582

1,2,17,34,223,446,3791,7582

Greatest Common Factor

We found the factors 770,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 770,7582 is 2.

Lets's calculate LCM of 191,7122

Lowest Common Multiple of 191,7122 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1360302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1360302

Therefore, the GCF of Fractions 770/191,7582/7122 is 2/1360302

Least Common Multiple of 191,7122 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 191,7122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,7122) = 1

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

GCF(191,7122) x common factors =1 x 1 = 1

LCM(191,7122) = ( 191 × 7122 ) / 1

LCM(191,7122) = 1360302 / 1

LCM(191,7122) = 1360302

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FAQs on GCF of Fractions of 770/191, 7582/7122

1. What is the HCF of 770,7582?

The HCF of 770,7582 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 770/191, 7582/7122?

Answer: GCF of Numerators as per given numbers 770/191, 7582/7122 is

GCF of Numerators i.e. for 770,7582 is 2

LCM of denominators i.e. for 191,7122 is 1360302.

Thus, GCF of Fractions is 2/1360302.Finally, GCF of Fractions for 770/191, 7582/7122 is 2/1360302.