How to Find GCF of 7085/846, 8777/7834?

GCF of 7085/846, 8777/7834

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 7085/846, 8777/7834 i.e 1/3313782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7085/846, 8777/7834.

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 7085/846,8777/7834?

Given fractions are 7085/846,8777/7834

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 7085/846,8777/7834, numerators are 7085,8777

Denominators are 846,7834

The GCF of 7085,8777 is 1 .

LCM of 846,7834 is 3313782.

The greatest common factor of 7085/846,8777/7834 = [GCF of 7085,8777]/[LCM of 846,7834]= 1/3313782

Therefore, the GCF of 7085/846,8777/7834 is 1/3313782.

Greatest Common Factor of 7085,8777

To find the highest common factor of 7085,8777, we have to find the factors of both numbers and list the highest common factor.

The factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085

The factors of 8777 are 1, 67, 131, 8777

The HCF of 7085,8777 is 1.

Lets's calculate GCF of 7085,8777

Greatest Common Factor (GCF) of 7085,8777 By Common Division

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

Greatest Common Factor of 7085,8777 By Matching Biggest Common Factor Method

Now, list down the factors of 7085

1,5,13,65,109,545,1417,7085

Now, list down the factors of 8777

1,67,131,8777

Greatest Common Factor

We found the factors 7085,8777 . The biggest common factor number is the GCF number.
So the greatest common factor 7085,8777 is 1.

Lets's calculate LCM of 846,7834

Lowest Common Multiple of 846,7834 using Common Division

2	846, 7834
	423, 3917

∴ So the LCM of the given numbers is 2 x 423 x 3917 = 3313782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3313782

Therefore, the GCF of Fractions 7085/846,8777/7834 is 1/3313782

Least Common Multiple of 846,7834 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 846,7834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,7834) = 2

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

GCF(846,7834) x common factors =2 x 1 = 2

LCM(846,7834) = ( 846 × 7834 ) / 2

LCM(846,7834) = 6627564 / 2

LCM(846,7834) = 3313782

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FAQs on GCF of Fractions of 7085/846, 8777/7834

1. What is the HCF of 7085,8777?

The HCF of 7085,8777 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 7085/846, 8777/7834?

Answer: GCF of Numerators as per given numbers 7085/846, 8777/7834 is

GCF of Numerators i.e. for 7085,8777 is 1

LCM of denominators i.e. for 846,7834 is 3313782.

Thus, GCF of Fractions is 1/3313782.Finally, GCF of Fractions for 7085/846, 8777/7834 is 1/3313782.