GCF of 1336/914, 4311/7724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1336/914, 4311/7724 i.e 1/3529868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1336/914, 4311/7724.
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 1336/914,4311/7724?
Given fractions are 1336/914,4311/7724
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 1336/914,4311/7724, numerators are 1336,4311
Denominators are 914,7724
The GCF of 1336,4311 is 1 .
LCM of 914,7724 is 3529868.
The greatest common factor of 1336/914,4311/7724 = [GCF of 1336,4311]/[LCM of 914,7724]= 1/3529868
Therefore, the GCF of 1336/914,4311/7724 is 1/3529868.
To find the highest common factor of 1336,4311, we have to find the factors of both numbers and list the highest common factor.
The factors of 1336 are 1, 2, 4, 8, 167, 334, 668, 1336
The factors of 4311 are 1, 3, 9, 479, 1437, 4311
The HCF of 1336,4311 is 1.
Lets's calculate GCF of 1336,4311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1336,4311 By Matching Biggest Common Factor Method
Now, list down the factors of 1336
:1,2,4,8,167,334,668,1336
Now, list down the factors of 4311
:1,3,9,479,1437,4311
Greatest Common Factor
We found the factors 1336,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 1336,4311 is 1.
Lets's calculate LCM of 914,7724
| 2 | 914, 7724 |
| 457, 3862 |
∴ So the LCM of the given numbers is 2 x 457 x 3862 = 3529868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3529868
Therefore, the GCF of Fractions 1336/914,4311/7724 is 1/3529868
Least Common Multiple of 914,7724 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 914,7724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,7724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,7724) x common factors =2 x 1 = 2
LCM(914,7724) = ( 914 × 7724 ) / 2
LCM(914,7724) = 7059736 / 2
LCM(914,7724) = 3529868
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FAQs on GCF of Fractions of 1336/914, 4311/7724
1. What is the HCF of 1336,4311?
The HCF of 1336,4311 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 1336/914, 4311/7724?
Answer: GCF of Numerators as per given numbers 1336/914, 4311/7724 is
GCF of Numerators i.e. for 1336,4311 is 1
LCM of denominators i.e. for 914,7724 is 3529868.
Thus, GCF of Fractions is 1/3529868.Finally, GCF of Fractions for 1336/914, 4311/7724 is 1/3529868.