How to Find GCF of 770/997, 4631/8444?

GCF of 770/997, 4631/8444

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 770/997, 4631/8444 i.e 11/8418668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/997, 4631/8444.

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 770/997,4631/8444?

Given fractions are 770/997,4631/8444

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 770/997,4631/8444, numerators are 770,4631

Denominators are 997,8444

The GCF of 770,4631 is 11 .

LCM of 997,8444 is 8418668.

The greatest common factor of 770/997,4631/8444 = [GCF of 770,4631]/[LCM of 997,8444]= 11/8418668

Therefore, the GCF of 770/997,4631/8444 is 11/8418668.

Greatest Common Factor of 770,4631

To find the highest common factor of 770,4631, 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 4631 are 1, 11, 421, 4631

The HCF of 770,4631 is 11.

Lets's calculate GCF of 770,4631

Greatest Common Factor (GCF) of 770,4631 By Common Division

11	770, 4631
	70, 421

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 770,4631 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 4631

1,11,421,4631

Greatest Common Factor

We found the factors 770,4631 . The biggest common factor number is the GCF number.
So the greatest common factor 770,4631 is 11.

Lets's calculate LCM of 997,8444

Lowest Common Multiple of 997,8444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8418668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8418668

Therefore, the GCF of Fractions 770/997,4631/8444 is 11/8418668

Least Common Multiple of 997,8444 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 997,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,8444) = 1

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

GCF(997,8444) x common factors =1 x 1 = 1

LCM(997,8444) = ( 997 × 8444 ) / 1

LCM(997,8444) = 8418668 / 1

LCM(997,8444) = 8418668

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FAQs on GCF of Fractions of 770/997, 4631/8444

1. What is the HCF of 770,4631?

The HCF of 770,4631 is 11

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 770/997, 4631/8444?

Answer: GCF of Numerators as per given numbers 770/997, 4631/8444 is

GCF of Numerators i.e. for 770,4631 is 11

LCM of denominators i.e. for 997,8444 is 8418668.

Thus, GCF of Fractions is 11/8418668.Finally, GCF of Fractions for 770/997, 4631/8444 is 11/8418668.