GCF of 2715/764, 7117/496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2715/764, 7117/496 i.e 1/94736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2715/764, 7117/496.
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 2715/764,7117/496?
Given fractions are 2715/764,7117/496
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 2715/764,7117/496, numerators are 2715,7117
Denominators are 764,496
The GCF of 2715,7117 is 1 .
LCM of 764,496 is 94736.
The greatest common factor of 2715/764,7117/496 = [GCF of 2715,7117]/[LCM of 764,496]= 1/94736
Therefore, the GCF of 2715/764,7117/496 is 1/94736.
To find the highest common factor of 2715,7117, we have to find the factors of both numbers and list the highest common factor.
The factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715
The factors of 7117 are 1, 11, 647, 7117
The HCF of 2715,7117 is 1.
Lets's calculate GCF of 2715,7117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2715,7117 By Matching Biggest Common Factor Method
Now, list down the factors of 2715
:1,3,5,15,181,543,905,2715
Now, list down the factors of 7117
:1,11,647,7117
Greatest Common Factor
We found the factors 2715,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 2715,7117 is 1.
Lets's calculate LCM of 764,496
| 2 | 764, 496 |
| 2 | 382, 248 |
| 191, 124 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 124 = 94736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94736
Therefore, the GCF of Fractions 2715/764,7117/496 is 1/94736
Least Common Multiple of 764,496 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 764,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,496) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,496) x common factors =4 x 1 = 4
LCM(764,496) = ( 764 × 496 ) / 4
LCM(764,496) = 378944 / 4
LCM(764,496) = 94736
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FAQs on GCF of Fractions of 2715/764, 7117/496
1. What is the HCF of 2715,7117?
The HCF of 2715,7117 is 1
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 2715/764, 7117/496?
Answer: GCF of Numerators as per given numbers 2715/764, 7117/496 is
GCF of Numerators i.e. for 2715,7117 is 1
LCM of denominators i.e. for 764,496 is 94736.
Thus, GCF of Fractions is 1/94736.Finally, GCF of Fractions for 2715/764, 7117/496 is 1/94736.