GCF of 3194/870, 4636/3665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3194/870, 4636/3665 i.e 2/637710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3194/870, 4636/3665.
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 3194/870,4636/3665?
Given fractions are 3194/870,4636/3665
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 3194/870,4636/3665, numerators are 3194,4636
Denominators are 870,3665
The GCF of 3194,4636 is 2 .
LCM of 870,3665 is 637710.
The greatest common factor of 3194/870,4636/3665 = [GCF of 3194,4636]/[LCM of 870,3665]= 2/637710
Therefore, the GCF of 3194/870,4636/3665 is 2/637710.
To find the highest common factor of 3194,4636, we have to find the factors of both numbers and list the highest common factor.
The factors of 3194 are 1, 2, 1597, 3194
The factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636
The HCF of 3194,4636 is 2.
Lets's calculate GCF of 3194,4636
| 2 | 3194, 4636 |
| 1597, 2318 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3194,4636 By Matching Biggest Common Factor Method
Now, list down the factors of 3194
:1,2,1597,3194
Now, list down the factors of 4636
:1,2,4,19,38,61,76,122,244,1159,2318,4636
Greatest Common Factor
We found the factors 3194,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 3194,4636 is 2.
Lets's calculate LCM of 870,3665
| 5 | 870, 3665 |
| 174, 733 |
∴ So the LCM of the given numbers is 5 x 174 x 733 = 637710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/637710
Therefore, the GCF of Fractions 3194/870,4636/3665 is 2/637710
Least Common Multiple of 870,3665 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 870,3665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,3665) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(870,3665) x common factors =5 x 1 = 5
LCM(870,3665) = ( 870 × 3665 ) / 5
LCM(870,3665) = 3188550 / 5
LCM(870,3665) = 637710
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FAQs on GCF of Fractions of 3194/870, 4636/3665
1. What is the HCF of 3194,4636?
The HCF of 3194,4636 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 3194/870, 4636/3665?
Answer: GCF of Numerators as per given numbers 3194/870, 4636/3665 is
GCF of Numerators i.e. for 3194,4636 is 2
LCM of denominators i.e. for 870,3665 is 637710.
Thus, GCF of Fractions is 2/637710.Finally, GCF of Fractions for 3194/870, 4636/3665 is 2/637710.