GCF of 4381/714, 1114/8948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4381/714, 1114/8948 i.e 1/3194436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4381/714, 1114/8948.
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 4381/714,1114/8948?
Given fractions are 4381/714,1114/8948
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 4381/714,1114/8948, numerators are 4381,1114
Denominators are 714,8948
The GCF of 4381,1114 is 1 .
LCM of 714,8948 is 3194436.
The greatest common factor of 4381/714,1114/8948 = [GCF of 4381,1114]/[LCM of 714,8948]= 1/3194436
Therefore, the GCF of 4381/714,1114/8948 is 1/3194436.
To find the highest common factor of 4381,1114, we have to find the factors of both numbers and list the highest common factor.
The factors of 4381 are 1, 13, 337, 4381
The factors of 1114 are 1, 2, 557, 1114
The HCF of 4381,1114 is 1.
Lets's calculate GCF of 4381,1114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4381,1114 By Matching Biggest Common Factor Method
Now, list down the factors of 4381
:1,13,337,4381
Now, list down the factors of 1114
:1,2,557,1114
Greatest Common Factor
We found the factors 4381,1114 . The biggest common factor number is the GCF number.
So the greatest common factor 4381,1114 is 1.
Lets's calculate LCM of 714,8948
| 2 | 714, 8948 |
| 357, 4474 |
∴ So the LCM of the given numbers is 2 x 357 x 4474 = 3194436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3194436
Therefore, the GCF of Fractions 4381/714,1114/8948 is 1/3194436
Least Common Multiple of 714,8948 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 714,8948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,8948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,8948) x common factors =2 x 1 = 2
LCM(714,8948) = ( 714 × 8948 ) / 2
LCM(714,8948) = 6388872 / 2
LCM(714,8948) = 3194436
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FAQs on GCF of Fractions of 4381/714, 1114/8948
1. What is the HCF of 4381,1114?
The HCF of 4381,1114 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 4381/714, 1114/8948?
Answer: GCF of Numerators as per given numbers 4381/714, 1114/8948 is
GCF of Numerators i.e. for 4381,1114 is 1
LCM of denominators i.e. for 714,8948 is 3194436.
Thus, GCF of Fractions is 1/3194436.Finally, GCF of Fractions for 4381/714, 1114/8948 is 1/3194436.