GCF of 884/358, 5674/9013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 884/358, 5674/9013 i.e 2/3226654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/358, 5674/9013.
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 884/358,5674/9013?
Given fractions are 884/358,5674/9013
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 884/358,5674/9013, numerators are 884,5674
Denominators are 358,9013
The GCF of 884,5674 is 2 .
LCM of 358,9013 is 3226654.
The greatest common factor of 884/358,5674/9013 = [GCF of 884,5674]/[LCM of 358,9013]= 2/3226654
Therefore, the GCF of 884/358,5674/9013 is 2/3226654.
To find the highest common factor of 884,5674, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 5674 are 1, 2, 2837, 5674
The HCF of 884,5674 is 2.
Lets's calculate GCF of 884,5674
| 2 | 884, 5674 |
| 442, 2837 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 884,5674 By Matching Biggest Common Factor Method
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 5674
:1,2,2837,5674
Greatest Common Factor
We found the factors 884,5674 . The biggest common factor number is the GCF number.
So the greatest common factor 884,5674 is 2.
Lets's calculate LCM of 358,9013
Given numbers has no common factors except 1. So, there LCM is their product i.e 3226654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3226654
Therefore, the GCF of Fractions 884/358,5674/9013 is 2/3226654
Least Common Multiple of 358,9013 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 358,9013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,9013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,9013) x common factors =1 x 1 = 1
LCM(358,9013) = ( 358 × 9013 ) / 1
LCM(358,9013) = 3226654 / 1
LCM(358,9013) = 3226654
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FAQs on GCF of Fractions of 884/358, 5674/9013
1. What is the HCF of 884,5674?
The HCF of 884,5674 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 884/358, 5674/9013?
Answer: GCF of Numerators as per given numbers 884/358, 5674/9013 is
GCF of Numerators i.e. for 884,5674 is 2
LCM of denominators i.e. for 358,9013 is 3226654.
Thus, GCF of Fractions is 2/3226654.Finally, GCF of Fractions for 884/358, 5674/9013 is 2/3226654.