GCF of 3476/938, 2536/3085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3476/938, 2536/3085 i.e 4/2893730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3476/938, 2536/3085.
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 3476/938,2536/3085?
Given fractions are 3476/938,2536/3085
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 3476/938,2536/3085, numerators are 3476,2536
Denominators are 938,3085
The GCF of 3476,2536 is 4 .
LCM of 938,3085 is 2893730.
The greatest common factor of 3476/938,2536/3085 = [GCF of 3476,2536]/[LCM of 938,3085]= 4/2893730
Therefore, the GCF of 3476/938,2536/3085 is 4/2893730.
To find the highest common factor of 3476,2536, we have to find the factors of both numbers and list the highest common factor.
The factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476
The factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536
The HCF of 3476,2536 is 4.
Lets's calculate GCF of 3476,2536
| 2 | 3476, 2536 |
| 2 | 1738, 1268 |
| 869, 634 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3476,2536 By Matching Biggest Common Factor Method
Now, list down the factors of 3476
:1,2,4,11,22,44,79,158,316,869,1738,3476
Now, list down the factors of 2536
:1,2,4,8,317,634,1268,2536
Greatest Common Factor
We found the factors 3476,2536 . The biggest common factor number is the GCF number.
So the greatest common factor 3476,2536 is 4.
Lets's calculate LCM of 938,3085
Given numbers has no common factors except 1. So, there LCM is their product i.e 2893730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2893730
Therefore, the GCF of Fractions 3476/938,2536/3085 is 4/2893730
Least Common Multiple of 938,3085 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 938,3085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,3085) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,3085) x common factors =1 x 1 = 1
LCM(938,3085) = ( 938 × 3085 ) / 1
LCM(938,3085) = 2893730 / 1
LCM(938,3085) = 2893730
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FAQs on GCF of Fractions of 3476/938, 2536/3085
1. What is the HCF of 3476,2536?
The HCF of 3476,2536 is 4
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 3476/938, 2536/3085?
Answer: GCF of Numerators as per given numbers 3476/938, 2536/3085 is
GCF of Numerators i.e. for 3476,2536 is 4
LCM of denominators i.e. for 938,3085 is 2893730.
Thus, GCF of Fractions is 4/2893730.Finally, GCF of Fractions for 3476/938, 2536/3085 is 4/2893730.