GCF of 4977/452, 7372/2134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4977/452, 7372/2134 i.e 1/482284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4977/452, 7372/2134.
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 4977/452,7372/2134?
Given fractions are 4977/452,7372/2134
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 4977/452,7372/2134, numerators are 4977,7372
Denominators are 452,2134
The GCF of 4977,7372 is 1 .
LCM of 452,2134 is 482284.
The greatest common factor of 4977/452,7372/2134 = [GCF of 4977,7372]/[LCM of 452,2134]= 1/482284
Therefore, the GCF of 4977/452,7372/2134 is 1/482284.
To find the highest common factor of 4977,7372, 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 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372
The HCF of 4977,7372 is 1.
Lets's calculate GCF of 4977,7372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4977,7372 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 7372
:1,2,4,19,38,76,97,194,388,1843,3686,7372
Greatest Common Factor
We found the factors 4977,7372 . The biggest common factor number is the GCF number.
So the greatest common factor 4977,7372 is 1.
Lets's calculate LCM of 452,2134
| 2 | 452, 2134 |
| 226, 1067 |
∴ So the LCM of the given numbers is 2 x 226 x 1067 = 482284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482284
Therefore, the GCF of Fractions 4977/452,7372/2134 is 1/482284
Least Common Multiple of 452,2134 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 452,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,2134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,2134) x common factors =2 x 1 = 2
LCM(452,2134) = ( 452 × 2134 ) / 2
LCM(452,2134) = 964568 / 2
LCM(452,2134) = 482284
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FAQs on GCF of Fractions of 4977/452, 7372/2134
1. What is the HCF of 4977,7372?
The HCF of 4977,7372 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 4977/452, 7372/2134?
Answer: GCF of Numerators as per given numbers 4977/452, 7372/2134 is
GCF of Numerators i.e. for 4977,7372 is 1
LCM of denominators i.e. for 452,2134 is 482284.
Thus, GCF of Fractions is 1/482284.Finally, GCF of Fractions for 4977/452, 7372/2134 is 1/482284.