GCF of 7315/764, 4983/2762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7315/764, 4983/2762 i.e 11/1055084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7315/764, 4983/2762.
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 7315/764,4983/2762?
Given fractions are 7315/764,4983/2762
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 7315/764,4983/2762, numerators are 7315,4983
Denominators are 764,2762
The GCF of 7315,4983 is 11 .
LCM of 764,2762 is 1055084.
The greatest common factor of 7315/764,4983/2762 = [GCF of 7315,4983]/[LCM of 764,2762]= 11/1055084
Therefore, the GCF of 7315/764,4983/2762 is 11/1055084.
To find the highest common factor of 7315,4983, we have to find the factors of both numbers and list the highest common factor.
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983
The HCF of 7315,4983 is 11.
Lets's calculate GCF of 7315,4983
| 11 | 7315, 4983 |
| 665, 453 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7315,4983 By Matching Biggest Common Factor Method
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Now, list down the factors of 4983
:1,3,11,33,151,453,1661,4983
Greatest Common Factor
We found the factors 7315,4983 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,4983 is 11.
Lets's calculate LCM of 764,2762
| 2 | 764, 2762 |
| 382, 1381 |
∴ So the LCM of the given numbers is 2 x 382 x 1381 = 1055084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1055084
Therefore, the GCF of Fractions 7315/764,4983/2762 is 11/1055084
Least Common Multiple of 764,2762 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 764,2762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,2762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,2762) x common factors =2 x 1 = 2
LCM(764,2762) = ( 764 × 2762 ) / 2
LCM(764,2762) = 2110168 / 2
LCM(764,2762) = 1055084
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FAQs on GCF of Fractions of 7315/764, 4983/2762
1. What is the HCF of 7315,4983?
The HCF of 7315,4983 is 11
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 7315/764, 4983/2762?
Answer: GCF of Numerators as per given numbers 7315/764, 4983/2762 is
GCF of Numerators i.e. for 7315,4983 is 11
LCM of denominators i.e. for 764,2762 is 1055084.
Thus, GCF of Fractions is 11/1055084.Finally, GCF of Fractions for 7315/764, 4983/2762 is 11/1055084.