GCF of 5734/170, 8748/6380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5734/170, 8748/6380 i.e 2/108460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5734/170, 8748/6380.
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 5734/170,8748/6380?
Given fractions are 5734/170,8748/6380
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 5734/170,8748/6380, numerators are 5734,8748
Denominators are 170,6380
The GCF of 5734,8748 is 2 .
LCM of 170,6380 is 108460.
The greatest common factor of 5734/170,8748/6380 = [GCF of 5734,8748]/[LCM of 170,6380]= 2/108460
Therefore, the GCF of 5734/170,8748/6380 is 2/108460.
To find the highest common factor of 5734,8748, we have to find the factors of both numbers and list the highest common factor.
The factors of 5734 are 1, 2, 47, 61, 94, 122, 2867, 5734
The factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748
The HCF of 5734,8748 is 2.
Lets's calculate GCF of 5734,8748
| 2 | 5734, 8748 |
| 2867, 4374 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5734,8748 By Matching Biggest Common Factor Method
Now, list down the factors of 5734
:1,2,47,61,94,122,2867,5734
Now, list down the factors of 8748
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748
Greatest Common Factor
We found the factors 5734,8748 . The biggest common factor number is the GCF number.
So the greatest common factor 5734,8748 is 2.
Lets's calculate LCM of 170,6380
| 2 | 170, 6380 |
| 5 | 85, 3190 |
| 17, 638 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 638 = 108460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108460
Therefore, the GCF of Fractions 5734/170,8748/6380 is 2/108460
Least Common Multiple of 170,6380 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 170,6380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,6380) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(170,6380) x common factors =10 x 1 = 10
LCM(170,6380) = ( 170 × 6380 ) / 10
LCM(170,6380) = 1084600 / 10
LCM(170,6380) = 108460
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FAQs on GCF of Fractions of 5734/170, 8748/6380
1. What is the HCF of 5734,8748?
The HCF of 5734,8748 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 5734/170, 8748/6380?
Answer: GCF of Numerators as per given numbers 5734/170, 8748/6380 is
GCF of Numerators i.e. for 5734,8748 is 2
LCM of denominators i.e. for 170,6380 is 108460.
Thus, GCF of Fractions is 2/108460.Finally, GCF of Fractions for 5734/170, 8748/6380 is 2/108460.