GCF of 4977/627, 6909/4801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4977/627, 6909/4801 i.e 21/3010227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4977/627, 6909/4801.
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 4977/627,6909/4801?
Given fractions are 4977/627,6909/4801
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 4977/627,6909/4801, numerators are 4977,6909
Denominators are 627,4801
The GCF of 4977,6909 is 21 .
LCM of 627,4801 is 3010227.
The greatest common factor of 4977/627,6909/4801 = [GCF of 4977,6909]/[LCM of 627,4801]= 21/3010227
Therefore, the GCF of 4977/627,6909/4801 is 21/3010227.
To find the highest common factor of 4977,6909, we have to find the factors of both numbers and list the highest common factor.
The factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977
The factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909
The HCF of 4977,6909 is 21.
Lets's calculate GCF of 4977,6909
| 3 | 4977, 6909 |
| 7 | 1659, 2303 |
| 237, 329 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 4977,6909 By Matching Biggest Common Factor Method
Now, list down the factors of 4977
:1,3,7,9,21,63,79,237,553,711,1659,4977
Now, list down the factors of 6909
:1,3,7,21,47,49,141,147,329,987,2303,6909
Greatest Common Factor
We found the factors 4977,6909 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,6909 is 21.
Lets's calculate LCM of 627,4801
Given numbers has no common factors except 1. So, there LCM is their product i.e 3010227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/3010227
Therefore, the GCF of Fractions 4977/627,6909/4801 is 21/3010227
Least Common Multiple of 627,4801 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 627,4801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,4801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,4801) x common factors =1 x 1 = 1
LCM(627,4801) = ( 627 × 4801 ) / 1
LCM(627,4801) = 3010227 / 1
LCM(627,4801) = 3010227
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FAQs on GCF of Fractions of 4977/627, 6909/4801
1. What is the HCF of 4977,6909?
The HCF of 4977,6909 is 21
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 4977/627, 6909/4801?
Answer: GCF of Numerators as per given numbers 4977/627, 6909/4801 is
GCF of Numerators i.e. for 4977,6909 is 21
LCM of denominators i.e. for 627,4801 is 3010227.
Thus, GCF of Fractions is 21/3010227.Finally, GCF of Fractions for 4977/627, 6909/4801 is 21/3010227.