GCF of 760/252, 5002/7167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/252, 5002/7167 i.e 2/602028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/252, 5002/7167.
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 760/252,5002/7167?
Given fractions are 760/252,5002/7167
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 760/252,5002/7167, numerators are 760,5002
Denominators are 252,7167
The GCF of 760,5002 is 2 .
LCM of 252,7167 is 602028.
The greatest common factor of 760/252,5002/7167 = [GCF of 760,5002]/[LCM of 252,7167]= 2/602028
Therefore, the GCF of 760/252,5002/7167 is 2/602028.
To find the highest common factor of 760,5002, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002
The HCF of 760,5002 is 2.
Lets's calculate GCF of 760,5002
| 2 | 760, 5002 |
| 380, 2501 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 760,5002 By Matching Biggest Common Factor Method
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 5002
:1,2,41,61,82,122,2501,5002
Greatest Common Factor
We found the factors 760,5002 . The biggest common factor number is the GCF number.
So the greatest common factor 760,5002 is 2.
Lets's calculate LCM of 252,7167
| 3 | 252, 7167 |
| 84, 2389 |
∴ So the LCM of the given numbers is 3 x 84 x 2389 = 602028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/602028
Therefore, the GCF of Fractions 760/252,5002/7167 is 2/602028
Least Common Multiple of 252,7167 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 252,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,7167) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(252,7167) x common factors =3 x 1 = 3
LCM(252,7167) = ( 252 × 7167 ) / 3
LCM(252,7167) = 1806084 / 3
LCM(252,7167) = 602028
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FAQs on GCF of Fractions of 760/252, 5002/7167
1. What is the HCF of 760,5002?
The HCF of 760,5002 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 760/252, 5002/7167?
Answer: GCF of Numerators as per given numbers 760/252, 5002/7167 is
GCF of Numerators i.e. for 760,5002 is 2
LCM of denominators i.e. for 252,7167 is 602028.
Thus, GCF of Fractions is 2/602028.Finally, GCF of Fractions for 760/252, 5002/7167 is 2/602028.