GCF of 4312/314, 8838/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4312/314, 8838/724 i.e 2/113668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4312/314, 8838/724.
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 4312/314,8838/724?
Given fractions are 4312/314,8838/724
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 4312/314,8838/724, numerators are 4312,8838
Denominators are 314,724
The GCF of 4312,8838 is 2 .
LCM of 314,724 is 113668.
The greatest common factor of 4312/314,8838/724 = [GCF of 4312,8838]/[LCM of 314,724]= 2/113668
Therefore, the GCF of 4312/314,8838/724 is 2/113668.
To find the highest common factor of 4312,8838, we have to find the factors of both numbers and list the highest common factor.
The factors of 4312 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 154, 196, 308, 392, 539, 616, 1078, 2156, 4312
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The HCF of 4312,8838 is 2.
Lets's calculate GCF of 4312,8838
| 2 | 4312, 8838 |
| 2156, 4419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4312,8838 By Matching Biggest Common Factor Method
Now, list down the factors of 4312
:1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors 4312,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 4312,8838 is 2.
Lets's calculate LCM of 314,724
| 2 | 314, 724 |
| 157, 362 |
∴ So the LCM of the given numbers is 2 x 157 x 362 = 113668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113668
Therefore, the GCF of Fractions 4312/314,8838/724 is 2/113668
Least Common Multiple of 314,724 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 314,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,724) x common factors =2 x 1 = 2
LCM(314,724) = ( 314 × 724 ) / 2
LCM(314,724) = 227336 / 2
LCM(314,724) = 113668
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FAQs on GCF of Fractions of 4312/314, 8838/724
1. What is the HCF of 4312,8838?
The HCF of 4312,8838 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 4312/314, 8838/724?
Answer: GCF of Numerators as per given numbers 4312/314, 8838/724 is
GCF of Numerators i.e. for 4312,8838 is 2
LCM of denominators i.e. for 314,724 is 113668.
Thus, GCF of Fractions is 2/113668.Finally, GCF of Fractions for 4312/314, 8838/724 is 2/113668.