GCF of 4877/607, 6348/6460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4877/607, 6348/6460 i.e 1/3921220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4877/607, 6348/6460.
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 4877/607,6348/6460?
Given fractions are 4877/607,6348/6460
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 4877/607,6348/6460, numerators are 4877,6348
Denominators are 607,6460
The GCF of 4877,6348 is 1 .
LCM of 607,6460 is 3921220.
The greatest common factor of 4877/607,6348/6460 = [GCF of 4877,6348]/[LCM of 607,6460]= 1/3921220
Therefore, the GCF of 4877/607,6348/6460 is 1/3921220.
To find the highest common factor of 4877,6348, we have to find the factors of both numbers and list the highest common factor.
The factors of 4877 are 1, 4877
The factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348
The HCF of 4877,6348 is 1.
Lets's calculate GCF of 4877,6348
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4877,6348 By Matching Biggest Common Factor Method
Now, list down the factors of 4877
:1,4877
Now, list down the factors of 6348
:1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Greatest Common Factor
We found the factors 4877,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 4877,6348 is 1.
Lets's calculate LCM of 607,6460
Given numbers has no common factors except 1. So, there LCM is their product i.e 3921220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3921220
Therefore, the GCF of Fractions 4877/607,6348/6460 is 1/3921220
Least Common Multiple of 607,6460 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 607,6460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,6460) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,6460) x common factors =1 x 1 = 1
LCM(607,6460) = ( 607 × 6460 ) / 1
LCM(607,6460) = 3921220 / 1
LCM(607,6460) = 3921220
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FAQs on GCF of Fractions of 4877/607, 6348/6460
1. What is the HCF of 4877,6348?
The HCF of 4877,6348 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 4877/607, 6348/6460?
Answer: GCF of Numerators as per given numbers 4877/607, 6348/6460 is
GCF of Numerators i.e. for 4877,6348 is 1
LCM of denominators i.e. for 607,6460 is 3921220.
Thus, GCF of Fractions is 1/3921220.Finally, GCF of Fractions for 4877/607, 6348/6460 is 1/3921220.