GCF of 2912/756, 9256/5437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2912/756, 9256/5437 i.e 104/4110372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2912/756, 9256/5437.
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 2912/756,9256/5437?
Given fractions are 2912/756,9256/5437
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 2912/756,9256/5437, numerators are 2912,9256
Denominators are 756,5437
The GCF of 2912,9256 is 104 .
LCM of 756,5437 is 4110372.
The greatest common factor of 2912/756,9256/5437 = [GCF of 2912,9256]/[LCM of 756,5437]= 104/4110372
Therefore, the GCF of 2912/756,9256/5437 is 104/4110372.
To find the highest common factor of 2912,9256, we have to find the factors of both numbers and list the highest common factor.
The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912
The factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256
The HCF of 2912,9256 is 104.
Lets's calculate GCF of 2912,9256
| 2 | 2912, 9256 |
| 2 | 1456, 4628 |
| 2 | 728, 2314 |
| 13 | 364, 1157 |
| 28, 89 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104
Greatest Common Factor of 2912,9256 By Matching Biggest Common Factor Method
Now, list down the factors of 2912
:1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Now, list down the factors of 9256
:1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Greatest Common Factor
We found the factors 2912,9256 . The biggest common factor number is the GCF number.
So the greatest common factor 2912,9256 is 104.
Lets's calculate LCM of 756,5437
Given numbers has no common factors except 1. So, there LCM is their product i.e 4110372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 104/4110372
Therefore, the GCF of Fractions 2912/756,9256/5437 is 104/4110372
Least Common Multiple of 756,5437 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 756,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,5437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,5437) x common factors =1 x 1 = 1
LCM(756,5437) = ( 756 × 5437 ) / 1
LCM(756,5437) = 4110372 / 1
LCM(756,5437) = 4110372
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FAQs on GCF of Fractions of 2912/756, 9256/5437
1. What is the HCF of 2912,9256?
The HCF of 2912,9256 is 104
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 2912/756, 9256/5437?
Answer: GCF of Numerators as per given numbers 2912/756, 9256/5437 is
GCF of Numerators i.e. for 2912,9256 is 104
LCM of denominators i.e. for 756,5437 is 4110372.
Thus, GCF of Fractions is 104/4110372.Finally, GCF of Fractions for 2912/756, 9256/5437 is 104/4110372.