GCF of 2554/946, 4928/3252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2554/946, 4928/3252 i.e 2/1538196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2554/946, 4928/3252.
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 2554/946,4928/3252?
Given fractions are 2554/946,4928/3252
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 2554/946,4928/3252, numerators are 2554,4928
Denominators are 946,3252
The GCF of 2554,4928 is 2 .
LCM of 946,3252 is 1538196.
The greatest common factor of 2554/946,4928/3252 = [GCF of 2554,4928]/[LCM of 946,3252]= 2/1538196
Therefore, the GCF of 2554/946,4928/3252 is 2/1538196.
To find the highest common factor of 2554,4928, we have to find the factors of both numbers and list the highest common factor.
The factors of 2554 are 1, 2, 1277, 2554
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The HCF of 2554,4928 is 2.
Lets's calculate GCF of 2554,4928
| 2 | 2554, 4928 |
| 1277, 2464 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2554,4928 By Matching Biggest Common Factor Method
Now, list down the factors of 2554
:1,2,1277,2554
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 2554,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 2554,4928 is 2.
Lets's calculate LCM of 946,3252
| 2 | 946, 3252 |
| 473, 1626 |
∴ So the LCM of the given numbers is 2 x 473 x 1626 = 1538196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1538196
Therefore, the GCF of Fractions 2554/946,4928/3252 is 2/1538196
Least Common Multiple of 946,3252 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 946,3252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,3252) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,3252) x common factors =2 x 1 = 2
LCM(946,3252) = ( 946 × 3252 ) / 2
LCM(946,3252) = 3076392 / 2
LCM(946,3252) = 1538196
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FAQs on GCF of Fractions of 2554/946, 4928/3252
1. What is the HCF of 2554,4928?
The HCF of 2554,4928 is 2
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 2554/946, 4928/3252?
Answer: GCF of Numerators as per given numbers 2554/946, 4928/3252 is
GCF of Numerators i.e. for 2554,4928 is 2
LCM of denominators i.e. for 946,3252 is 1538196.
Thus, GCF of Fractions is 2/1538196.Finally, GCF of Fractions for 2554/946, 4928/3252 is 2/1538196.