GCF of 4960/491, 6541/5407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4960/491, 6541/5407 i.e 31/2654837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4960/491, 6541/5407.
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 4960/491,6541/5407?
Given fractions are 4960/491,6541/5407
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 4960/491,6541/5407, numerators are 4960,6541
Denominators are 491,5407
The GCF of 4960,6541 is 31 .
LCM of 491,5407 is 2654837.
The greatest common factor of 4960/491,6541/5407 = [GCF of 4960,6541]/[LCM of 491,5407]= 31/2654837
Therefore, the GCF of 4960/491,6541/5407 is 31/2654837.
To find the highest common factor of 4960,6541, we have to find the factors of both numbers and list the highest common factor.
The factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960
The factors of 6541 are 1, 31, 211, 6541
The HCF of 4960,6541 is 31.
Lets's calculate GCF of 4960,6541
| 31 | 4960, 6541 |
| 160, 211 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4960,6541 By Matching Biggest Common Factor Method
Now, list down the factors of 4960
:1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960
Now, list down the factors of 6541
:1,31,211,6541
Greatest Common Factor
We found the factors 4960,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 4960,6541 is 31.
Lets's calculate LCM of 491,5407
Given numbers has no common factors except 1. So, there LCM is their product i.e 2654837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2654837
Therefore, the GCF of Fractions 4960/491,6541/5407 is 31/2654837
Least Common Multiple of 491,5407 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 491,5407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,5407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,5407) x common factors =1 x 1 = 1
LCM(491,5407) = ( 491 × 5407 ) / 1
LCM(491,5407) = 2654837 / 1
LCM(491,5407) = 2654837
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FAQs on GCF of Fractions of 4960/491, 6541/5407
1. What is the HCF of 4960,6541?
The HCF of 4960,6541 is 31
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 4960/491, 6541/5407?
Answer: GCF of Numerators as per given numbers 4960/491, 6541/5407 is
GCF of Numerators i.e. for 4960,6541 is 31
LCM of denominators i.e. for 491,5407 is 2654837.
Thus, GCF of Fractions is 31/2654837.Finally, GCF of Fractions for 4960/491, 6541/5407 is 31/2654837.