GCF of 6104/284, 6687/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6104/284, 6687/310 i.e 1/44020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6104/284, 6687/310.
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 6104/284,6687/310?
Given fractions are 6104/284,6687/310
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 6104/284,6687/310, numerators are 6104,6687
Denominators are 284,310
The GCF of 6104,6687 is 1 .
LCM of 284,310 is 44020.
The greatest common factor of 6104/284,6687/310 = [GCF of 6104,6687]/[LCM of 284,310]= 1/44020
Therefore, the GCF of 6104/284,6687/310 is 1/44020.
To find the highest common factor of 6104,6687, we have to find the factors of both numbers and list the highest common factor.
The factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104
The factors of 6687 are 1, 3, 9, 743, 2229, 6687
The HCF of 6104,6687 is 1.
Lets's calculate GCF of 6104,6687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6104,6687 By Matching Biggest Common Factor Method
Now, list down the factors of 6104
:1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104
Now, list down the factors of 6687
:1,3,9,743,2229,6687
Greatest Common Factor
We found the factors 6104,6687 . The biggest common factor number is the GCF number.
So the greatest common factor 6104,6687 is 1.
Lets's calculate LCM of 284,310
| 2 | 284, 310 |
| 142, 155 |
∴ So the LCM of the given numbers is 2 x 142 x 155 = 44020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44020
Therefore, the GCF of Fractions 6104/284,6687/310 is 1/44020
Least Common Multiple of 284,310 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 284,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,310) x common factors =2 x 1 = 2
LCM(284,310) = ( 284 × 310 ) / 2
LCM(284,310) = 88040 / 2
LCM(284,310) = 44020
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FAQs on GCF of Fractions of 6104/284, 6687/310
1. What is the HCF of 6104,6687?
The HCF of 6104,6687 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 6104/284, 6687/310?
Answer: GCF of Numerators as per given numbers 6104/284, 6687/310 is
GCF of Numerators i.e. for 6104,6687 is 1
LCM of denominators i.e. for 284,310 is 44020.
Thus, GCF of Fractions is 1/44020.Finally, GCF of Fractions for 6104/284, 6687/310 is 1/44020.