How to Find GCF of 63/977, 67/706, 491/111?

GCF of 63/977, 67/706, 491/111

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 63/977, 67/706, 491/111 i.e 1/76563582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/977, 67/706, 491/111.

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 63/977,67/706,491/111?

Given fractions are 63/977,67/706,491/111

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 63/977,67/706,491/111, numerators are 63,67,491

Denominators are 977,706,111

The GCF of 63,67,491 is 1 .

LCM of 977,706,111 is 76563582.

The greatest common factor of 63/977,67/706,491/111 = [GCF of 63,67,491]/[LCM of 977,706,111]= 1/76563582

Therefore, the GCF of 63/977,67/706,491/111 is 1/76563582.

Greatest Common Factor of 63,67,491

To find the highest common factor of 63,67,491, we have to find the factors of both numbers and list the highest common factor.

The factors of 63 are 1, 3, 7, 9, 21, 63

The factors of 67 are 1, 67

The factors of 491 are 1, 491

The HCF of 63,67,491 is 1.

Lets's calculate GCF of 63,67,491

Greatest Common Factor (GCF) of 63,67,491 By Common Division

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

Greatest Common Factor of 63,67,491 By Matching Biggest Common Factor Method

Now, list down the factors of 63

1,3,7,9,21,63

Now, list down the factors of 67

1,67

Now, list down the factors of 491

1,491

Greatest Common Factor

We found the factors 63,67,491 . The biggest common factor number is the GCF number.
So the greatest common factor 63,67,491 is 1.

Lets's calculate LCM of 977,706,111

Lowest Common Multiple of 977,706,111 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 76563582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76563582

Therefore, the GCF of Fractions 63/977,67/706,491/111 is 1/76563582

Least Common Multiple of 977,706,111 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 977,706,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,706,111) = 1

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

GCF(977,706,111) x common factors =1 x 1 = 1

LCM(977,706,111) = ( 977 × 706 × 111 ) / 1

LCM(977,706,111) = 76563582 / 1

LCM(977,706,111) = 76563582

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 63/977, 67/706, 491/111

1. What is the HCF of 63,67,491?

The HCF of 63,67,491 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 63/977, 67/706, 491/111?

Answer: GCF of Numerators as per given numbers 63/977, 67/706, 491/111 is

GCF of Numerators i.e. for 63,67,491 is 1

LCM of denominators i.e. for 977,706,111 is 76563582.

Thus, GCF of Fractions is 1/76563582.Finally, GCF of Fractions for 63/977, 67/706, 491/111 is 1/76563582.