GCF of 4911/865, 5768/925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4911/865, 5768/925 i.e 1/160025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4911/865, 5768/925.
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 4911/865,5768/925?
Given fractions are 4911/865,5768/925
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 4911/865,5768/925, numerators are 4911,5768
Denominators are 865,925
The GCF of 4911,5768 is 1 .
LCM of 865,925 is 160025.
The greatest common factor of 4911/865,5768/925 = [GCF of 4911,5768]/[LCM of 865,925]= 1/160025
Therefore, the GCF of 4911/865,5768/925 is 1/160025.
To find the highest common factor of 4911,5768, we have to find the factors of both numbers and list the highest common factor.
The factors of 4911 are 1, 3, 1637, 4911
The factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768
The HCF of 4911,5768 is 1.
Lets's calculate GCF of 4911,5768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4911,5768 By Matching Biggest Common Factor Method
Now, list down the factors of 4911
:1,3,1637,4911
Now, list down the factors of 5768
:1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Greatest Common Factor
We found the factors 4911,5768 . The biggest common factor number is the GCF number.
So the greatest common factor 4911,5768 is 1.
Lets's calculate LCM of 865,925
| 5 | 865, 925 |
| 173, 185 |
∴ So the LCM of the given numbers is 5 x 173 x 185 = 160025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160025
Therefore, the GCF of Fractions 4911/865,5768/925 is 1/160025
Least Common Multiple of 865,925 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 865,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,925) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,925) x common factors =5 x 1 = 5
LCM(865,925) = ( 865 × 925 ) / 5
LCM(865,925) = 800125 / 5
LCM(865,925) = 160025
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FAQs on GCF of Fractions of 4911/865, 5768/925
1. What is the HCF of 4911,5768?
The HCF of 4911,5768 is 1
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 4911/865, 5768/925?
Answer: GCF of Numerators as per given numbers 4911/865, 5768/925 is
GCF of Numerators i.e. for 4911,5768 is 1
LCM of denominators i.e. for 865,925 is 160025.
Thus, GCF of Fractions is 1/160025.Finally, GCF of Fractions for 4911/865, 5768/925 is 1/160025.