How to Find GCF of 4651/776, 8434/4636?

GCF of 4651/776, 8434/4636

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 4651/776, 8434/4636 i.e 1/899384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4651/776, 8434/4636.

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 4651/776,8434/4636?

Given fractions are 4651/776,8434/4636

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 4651/776,8434/4636, numerators are 4651,8434

Denominators are 776,4636

The GCF of 4651,8434 is 1 .

LCM of 776,4636 is 899384.

The greatest common factor of 4651/776,8434/4636 = [GCF of 4651,8434]/[LCM of 776,4636]= 1/899384

Therefore, the GCF of 4651/776,8434/4636 is 1/899384.

Greatest Common Factor of 4651,8434

To find the highest common factor of 4651,8434, we have to find the factors of both numbers and list the highest common factor.

The factors of 4651 are 1, 4651

The factors of 8434 are 1, 2, 4217, 8434

The HCF of 4651,8434 is 1.

Lets's calculate GCF of 4651,8434

Greatest Common Factor (GCF) of 4651,8434 By Common Division

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

Greatest Common Factor of 4651,8434 By Matching Biggest Common Factor Method

Now, list down the factors of 4651

1,4651

Now, list down the factors of 8434

1,2,4217,8434

Greatest Common Factor

We found the factors 4651,8434 . The biggest common factor number is the GCF number.
So the greatest common factor 4651,8434 is 1.

Lets's calculate LCM of 776,4636

Lowest Common Multiple of 776,4636 using Common Division

2	776, 4636
2	388, 2318
	194, 1159

∴ So the LCM of the given numbers is 2 x 2 x 194 x 1159 = 899384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/899384

Therefore, the GCF of Fractions 4651/776,8434/4636 is 1/899384

Least Common Multiple of 776,4636 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 776,4636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,4636) = 4

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

GCF(776,4636) x common factors =4 x 1 = 4

LCM(776,4636) = ( 776 × 4636 ) / 4

LCM(776,4636) = 3597536 / 4

LCM(776,4636) = 899384

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FAQs on GCF of Fractions of 4651/776, 8434/4636

1. What is the HCF of 4651,8434?

The HCF of 4651,8434 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 4651/776, 8434/4636?

Answer: GCF of Numerators as per given numbers 4651/776, 8434/4636 is

GCF of Numerators i.e. for 4651,8434 is 1

LCM of denominators i.e. for 776,4636 is 899384.

Thus, GCF of Fractions is 1/899384.Finally, GCF of Fractions for 4651/776, 8434/4636 is 1/899384.