GCF of 5649/709, 7504/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5649/709, 7504/131 i.e 7/92879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5649/709, 7504/131.
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 5649/709,7504/131?
Given fractions are 5649/709,7504/131
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 5649/709,7504/131, numerators are 5649,7504
Denominators are 709,131
The GCF of 5649,7504 is 7 .
LCM of 709,131 is 92879.
The greatest common factor of 5649/709,7504/131 = [GCF of 5649,7504]/[LCM of 709,131]= 7/92879
Therefore, the GCF of 5649/709,7504/131 is 7/92879.
To find the highest common factor of 5649,7504, we have to find the factors of both numbers and list the highest common factor.
The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649
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 HCF of 5649,7504 is 7.
Lets's calculate GCF of 5649,7504
| 7 | 5649, 7504 |
| 807, 1072 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5649,7504 By Matching Biggest Common Factor Method
Now, list down the factors of 5649
:1,3,7,21,269,807,1883,5649
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
Greatest Common Factor
We found the factors 5649,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 5649,7504 is 7.
Lets's calculate LCM of 709,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 92879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/92879
Therefore, the GCF of Fractions 5649/709,7504/131 is 7/92879
Least Common Multiple of 709,131 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 709,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,131) x common factors =1 x 1 = 1
LCM(709,131) = ( 709 × 131 ) / 1
LCM(709,131) = 92879 / 1
LCM(709,131) = 92879
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FAQs on GCF of Fractions of 5649/709, 7504/131
1. What is the HCF of 5649,7504?
The HCF of 5649,7504 is 7
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 5649/709, 7504/131?
Answer: GCF of Numerators as per given numbers 5649/709, 7504/131 is
GCF of Numerators i.e. for 5649,7504 is 7
LCM of denominators i.e. for 709,131 is 92879.
Thus, GCF of Fractions is 7/92879.Finally, GCF of Fractions for 5649/709, 7504/131 is 7/92879.