GCF of 6916/764, 5092/1166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6916/764, 5092/1166 i.e 76/445412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6916/764, 5092/1166.
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 6916/764,5092/1166?
Given fractions are 6916/764,5092/1166
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 6916/764,5092/1166, numerators are 6916,5092
Denominators are 764,1166
The GCF of 6916,5092 is 76 .
LCM of 764,1166 is 445412.
The greatest common factor of 6916/764,5092/1166 = [GCF of 6916,5092]/[LCM of 764,1166]= 76/445412
Therefore, the GCF of 6916/764,5092/1166 is 76/445412.
To find the highest common factor of 6916,5092, we have to find the factors of both numbers and list the highest common factor.
The factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916
The factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092
The HCF of 6916,5092 is 76.
Lets's calculate GCF of 6916,5092
| 2 | 6916, 5092 |
| 2 | 3458, 2546 |
| 19 | 1729, 1273 |
| 91, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 6916,5092 By Matching Biggest Common Factor Method
Now, list down the factors of 6916
:1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916
Now, list down the factors of 5092
:1,2,4,19,38,67,76,134,268,1273,2546,5092
Greatest Common Factor
We found the factors 6916,5092 . The biggest common factor number is the GCF number.
So the greatest common factor 6916,5092 is 76.
Lets's calculate LCM of 764,1166
| 2 | 764, 1166 |
| 382, 583 |
∴ So the LCM of the given numbers is 2 x 382 x 583 = 445412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/445412
Therefore, the GCF of Fractions 6916/764,5092/1166 is 76/445412
Least Common Multiple of 764,1166 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 764,1166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,1166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,1166) x common factors =2 x 1 = 2
LCM(764,1166) = ( 764 × 1166 ) / 2
LCM(764,1166) = 890824 / 2
LCM(764,1166) = 445412
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FAQs on GCF of Fractions of 6916/764, 5092/1166
1. What is the HCF of 6916,5092?
The HCF of 6916,5092 is 76
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 6916/764, 5092/1166?
Answer: GCF of Numerators as per given numbers 6916/764, 5092/1166 is
GCF of Numerators i.e. for 6916,5092 is 76
LCM of denominators i.e. for 764,1166 is 445412.
Thus, GCF of Fractions is 76/445412.Finally, GCF of Fractions for 6916/764, 5092/1166 is 76/445412.