GCF of 3128/716, 5295/3746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3128/716, 5295/3746 i.e 1/1341068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3128/716, 5295/3746.
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 3128/716,5295/3746?
Given fractions are 3128/716,5295/3746
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 3128/716,5295/3746, numerators are 3128,5295
Denominators are 716,3746
The GCF of 3128,5295 is 1 .
LCM of 716,3746 is 1341068.
The greatest common factor of 3128/716,5295/3746 = [GCF of 3128,5295]/[LCM of 716,3746]= 1/1341068
Therefore, the GCF of 3128/716,5295/3746 is 1/1341068.
To find the highest common factor of 3128,5295, we have to find the factors of both numbers and list the highest common factor.
The factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128
The factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295
The HCF of 3128,5295 is 1.
Lets's calculate GCF of 3128,5295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3128,5295 By Matching Biggest Common Factor Method
Now, list down the factors of 3128
:1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128
Now, list down the factors of 5295
:1,3,5,15,353,1059,1765,5295
Greatest Common Factor
We found the factors 3128,5295 . The biggest common factor number is the GCF number.
So the greatest common factor 3128,5295 is 1.
Lets's calculate LCM of 716,3746
| 2 | 716, 3746 |
| 358, 1873 |
∴ So the LCM of the given numbers is 2 x 358 x 1873 = 1341068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1341068
Therefore, the GCF of Fractions 3128/716,5295/3746 is 1/1341068
Least Common Multiple of 716,3746 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 716,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,3746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,3746) x common factors =2 x 1 = 2
LCM(716,3746) = ( 716 × 3746 ) / 2
LCM(716,3746) = 2682136 / 2
LCM(716,3746) = 1341068
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FAQs on GCF of Fractions of 3128/716, 5295/3746
1. What is the HCF of 3128,5295?
The HCF of 3128,5295 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 3128/716, 5295/3746?
Answer: GCF of Numerators as per given numbers 3128/716, 5295/3746 is
GCF of Numerators i.e. for 3128,5295 is 1
LCM of denominators i.e. for 716,3746 is 1341068.
Thus, GCF of Fractions is 1/1341068.Finally, GCF of Fractions for 3128/716, 5295/3746 is 1/1341068.