GCF of 7582/135, 8076/6117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7582/135, 8076/6117 i.e 2/275265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7582/135, 8076/6117.
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 7582/135,8076/6117?
Given fractions are 7582/135,8076/6117
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 7582/135,8076/6117, numerators are 7582,8076
Denominators are 135,6117
The GCF of 7582,8076 is 2 .
LCM of 135,6117 is 275265.
The greatest common factor of 7582/135,8076/6117 = [GCF of 7582,8076]/[LCM of 135,6117]= 2/275265
Therefore, the GCF of 7582/135,8076/6117 is 2/275265.
To find the highest common factor of 7582,8076, we have to find the factors of both numbers and list the highest common factor.
The factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582
The factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076
The HCF of 7582,8076 is 2.
Lets's calculate GCF of 7582,8076
| 2 | 7582, 8076 |
| 3791, 4038 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7582,8076 By Matching Biggest Common Factor Method
Now, list down the factors of 7582
:1,2,17,34,223,446,3791,7582
Now, list down the factors of 8076
:1,2,3,4,6,12,673,1346,2019,2692,4038,8076
Greatest Common Factor
We found the factors 7582,8076 . The biggest common factor number is the GCF number.
So the greatest common factor 7582,8076 is 2.
Lets's calculate LCM of 135,6117
| 3 | 135, 6117 |
| 45, 2039 |
∴ So the LCM of the given numbers is 3 x 45 x 2039 = 275265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/275265
Therefore, the GCF of Fractions 7582/135,8076/6117 is 2/275265
Least Common Multiple of 135,6117 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 135,6117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,6117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(135,6117) x common factors =3 x 1 = 3
LCM(135,6117) = ( 135 × 6117 ) / 3
LCM(135,6117) = 825795 / 3
LCM(135,6117) = 275265
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FAQs on GCF of Fractions of 7582/135, 8076/6117
1. What is the HCF of 7582,8076?
The HCF of 7582,8076 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 7582/135, 8076/6117?
Answer: GCF of Numerators as per given numbers 7582/135, 8076/6117 is
GCF of Numerators i.e. for 7582,8076 is 2
LCM of denominators i.e. for 135,6117 is 275265.
Thus, GCF of Fractions is 2/275265.Finally, GCF of Fractions for 7582/135, 8076/6117 is 2/275265.