GCF of 9476/69, 6134/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9476/69, 6134/761 i.e 2/52509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9476/69, 6134/761.
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 9476/69,6134/761?
Given fractions are 9476/69,6134/761
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 9476/69,6134/761, numerators are 9476,6134
Denominators are 69,761
The GCF of 9476,6134 is 2 .
LCM of 69,761 is 52509.
The greatest common factor of 9476/69,6134/761 = [GCF of 9476,6134]/[LCM of 69,761]= 2/52509
Therefore, the GCF of 9476/69,6134/761 is 2/52509.
To find the highest common factor of 9476,6134, we have to find the factors of both numbers and list the highest common factor.
The factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476
The factors of 6134 are 1, 2, 3067, 6134
The HCF of 9476,6134 is 2.
Lets's calculate GCF of 9476,6134
| 2 | 9476, 6134 |
| 4738, 3067 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9476,6134 By Matching Biggest Common Factor Method
Now, list down the factors of 9476
:1,2,4,23,46,92,103,206,412,2369,4738,9476
Now, list down the factors of 6134
:1,2,3067,6134
Greatest Common Factor
We found the factors 9476,6134 . The biggest common factor number is the GCF number.
So the greatest common factor 9476,6134 is 2.
Lets's calculate LCM of 69,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 52509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52509
Therefore, the GCF of Fractions 9476/69,6134/761 is 2/52509
Least Common Multiple of 69,761 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 69,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,761) x common factors =1 x 1 = 1
LCM(69,761) = ( 69 × 761 ) / 1
LCM(69,761) = 52509 / 1
LCM(69,761) = 52509
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FAQs on GCF of Fractions of 9476/69, 6134/761
1. What is the HCF of 9476,6134?
The HCF of 9476,6134 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 9476/69, 6134/761?
Answer: GCF of Numerators as per given numbers 9476/69, 6134/761 is
GCF of Numerators i.e. for 9476,6134 is 2
LCM of denominators i.e. for 69,761 is 52509.
Thus, GCF of Fractions is 2/52509.Finally, GCF of Fractions for 9476/69, 6134/761 is 2/52509.