GCF of 2457/653, 4356/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2457/653, 4356/421 i.e 9/274913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2457/653, 4356/421.
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 2457/653,4356/421?
Given fractions are 2457/653,4356/421
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 2457/653,4356/421, numerators are 2457,4356
Denominators are 653,421
The GCF of 2457,4356 is 9 .
LCM of 653,421 is 274913.
The greatest common factor of 2457/653,4356/421 = [GCF of 2457,4356]/[LCM of 653,421]= 9/274913
Therefore, the GCF of 2457/653,4356/421 is 9/274913.
To find the highest common factor of 2457,4356, we have to find the factors of both numbers and list the highest common factor.
The factors of 2457 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457
The factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356
The HCF of 2457,4356 is 9.
Lets's calculate GCF of 2457,4356
| 3 | 2457, 4356 |
| 3 | 819, 1452 |
| 273, 484 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2457,4356 By Matching Biggest Common Factor Method
Now, list down the factors of 2457
:1,3,7,9,13,21,27,39,63,91,117,189,273,351,819,2457
Now, list down the factors of 4356
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Greatest Common Factor
We found the factors 2457,4356 . The biggest common factor number is the GCF number.
So the greatest common factor 2457,4356 is 9.
Lets's calculate LCM of 653,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 274913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/274913
Therefore, the GCF of Fractions 2457/653,4356/421 is 9/274913
Least Common Multiple of 653,421 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 653,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,421) x common factors =1 x 1 = 1
LCM(653,421) = ( 653 × 421 ) / 1
LCM(653,421) = 274913 / 1
LCM(653,421) = 274913
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FAQs on GCF of Fractions of 2457/653, 4356/421
1. What is the HCF of 2457,4356?
The HCF of 2457,4356 is 9
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 2457/653, 4356/421?
Answer: GCF of Numerators as per given numbers 2457/653, 4356/421 is
GCF of Numerators i.e. for 2457,4356 is 9
LCM of denominators i.e. for 653,421 is 274913.
Thus, GCF of Fractions is 9/274913.Finally, GCF of Fractions for 2457/653, 4356/421 is 9/274913.