GCF of 5332/787, 8104/1257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5332/787, 8104/1257 i.e 4/989259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5332/787, 8104/1257.
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 5332/787,8104/1257?
Given fractions are 5332/787,8104/1257
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 5332/787,8104/1257, numerators are 5332,8104
Denominators are 787,1257
The GCF of 5332,8104 is 4 .
LCM of 787,1257 is 989259.
The greatest common factor of 5332/787,8104/1257 = [GCF of 5332,8104]/[LCM of 787,1257]= 4/989259
Therefore, the GCF of 5332/787,8104/1257 is 4/989259.
To find the highest common factor of 5332,8104, we have to find the factors of both numbers and list the highest common factor.
The factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332
The factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104
The HCF of 5332,8104 is 4.
Lets's calculate GCF of 5332,8104
| 2 | 5332, 8104 |
| 2 | 2666, 4052 |
| 1333, 2026 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5332,8104 By Matching Biggest Common Factor Method
Now, list down the factors of 5332
:1,2,4,31,43,62,86,124,172,1333,2666,5332
Now, list down the factors of 8104
:1,2,4,8,1013,2026,4052,8104
Greatest Common Factor
We found the factors 5332,8104 . The biggest common factor number is the GCF number.
So the greatest common factor 5332,8104 is 4.
Lets's calculate LCM of 787,1257
Given numbers has no common factors except 1. So, there LCM is their product i.e 989259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/989259
Therefore, the GCF of Fractions 5332/787,8104/1257 is 4/989259
Least Common Multiple of 787,1257 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 787,1257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,1257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,1257) x common factors =1 x 1 = 1
LCM(787,1257) = ( 787 × 1257 ) / 1
LCM(787,1257) = 989259 / 1
LCM(787,1257) = 989259
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FAQs on GCF of Fractions of 5332/787, 8104/1257
1. What is the HCF of 5332,8104?
The HCF of 5332,8104 is 4
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 5332/787, 8104/1257?
Answer: GCF of Numerators as per given numbers 5332/787, 8104/1257 is
GCF of Numerators i.e. for 5332,8104 is 4
LCM of denominators i.e. for 787,1257 is 989259.
Thus, GCF of Fractions is 4/989259.Finally, GCF of Fractions for 5332/787, 8104/1257 is 4/989259.