GCF of 5164/876, 7150/332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5164/876, 7150/332 i.e 2/72708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5164/876, 7150/332.
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 5164/876,7150/332?
Given fractions are 5164/876,7150/332
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 5164/876,7150/332, numerators are 5164,7150
Denominators are 876,332
The GCF of 5164,7150 is 2 .
LCM of 876,332 is 72708.
The greatest common factor of 5164/876,7150/332 = [GCF of 5164,7150]/[LCM of 876,332]= 2/72708
Therefore, the GCF of 5164/876,7150/332 is 2/72708.
To find the highest common factor of 5164,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 5164 are 1, 2, 4, 1291, 2582, 5164
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 5164,7150 is 2.
Lets's calculate GCF of 5164,7150
| 2 | 5164, 7150 |
| 2582, 3575 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5164,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 5164
:1,2,4,1291,2582,5164
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 5164,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 5164,7150 is 2.
Lets's calculate LCM of 876,332
| 2 | 876, 332 |
| 2 | 438, 166 |
| 219, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 83 = 72708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72708
Therefore, the GCF of Fractions 5164/876,7150/332 is 2/72708
Least Common Multiple of 876,332 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 876,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,332) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,332) x common factors =4 x 1 = 4
LCM(876,332) = ( 876 × 332 ) / 4
LCM(876,332) = 290832 / 4
LCM(876,332) = 72708
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FAQs on GCF of Fractions of 5164/876, 7150/332
1. What is the HCF of 5164,7150?
The HCF of 5164,7150 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 5164/876, 7150/332?
Answer: GCF of Numerators as per given numbers 5164/876, 7150/332 is
GCF of Numerators i.e. for 5164,7150 is 2
LCM of denominators i.e. for 876,332 is 72708.
Thus, GCF of Fractions is 2/72708.Finally, GCF of Fractions for 5164/876, 7150/332 is 2/72708.