GCF of 7504/876, 9016/3523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7504/876, 9016/3523 i.e 56/3086148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7504/876, 9016/3523.
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 7504/876,9016/3523?
Given fractions are 7504/876,9016/3523
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 7504/876,9016/3523, numerators are 7504,9016
Denominators are 876,3523
The GCF of 7504,9016 is 56 .
LCM of 876,3523 is 3086148.
The greatest common factor of 7504/876,9016/3523 = [GCF of 7504,9016]/[LCM of 876,3523]= 56/3086148
Therefore, the GCF of 7504/876,9016/3523 is 56/3086148.
To find the highest common factor of 7504,9016, we have to find the factors of both numbers and list the highest common factor.
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The HCF of 7504,9016 is 56.
Lets's calculate GCF of 7504,9016
| 2 | 7504, 9016 |
| 2 | 3752, 4508 |
| 2 | 1876, 2254 |
| 7 | 938, 1127 |
| 134, 161 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 7504,9016 By Matching Biggest Common Factor Method
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 7504,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 7504,9016 is 56.
Lets's calculate LCM of 876,3523
Given numbers has no common factors except 1. So, there LCM is their product i.e 3086148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/3086148
Therefore, the GCF of Fractions 7504/876,9016/3523 is 56/3086148
Least Common Multiple of 876,3523 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 876,3523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,3523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(876,3523) x common factors =1 x 1 = 1
LCM(876,3523) = ( 876 × 3523 ) / 1
LCM(876,3523) = 3086148 / 1
LCM(876,3523) = 3086148
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FAQs on GCF of Fractions of 7504/876, 9016/3523
1. What is the HCF of 7504,9016?
The HCF of 7504,9016 is 56
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 7504/876, 9016/3523?
Answer: GCF of Numerators as per given numbers 7504/876, 9016/3523 is
GCF of Numerators i.e. for 7504,9016 is 56
LCM of denominators i.e. for 876,3523 is 3086148.
Thus, GCF of Fractions is 56/3086148.Finally, GCF of Fractions for 7504/876, 9016/3523 is 56/3086148.