GCF of 431/740, 5372/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 431/740, 5372/874 i.e 1/323380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/740, 5372/874.
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 431/740,5372/874?
Given fractions are 431/740,5372/874
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 431/740,5372/874, numerators are 431,5372
Denominators are 740,874
The GCF of 431,5372 is 1 .
LCM of 740,874 is 323380.
The greatest common factor of 431/740,5372/874 = [GCF of 431,5372]/[LCM of 740,874]= 1/323380
Therefore, the GCF of 431/740,5372/874 is 1/323380.
To find the highest common factor of 431,5372, we have to find the factors of both numbers and list the highest common factor.
The factors of 431 are 1, 431
The factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372
The HCF of 431,5372 is 1.
Lets's calculate GCF of 431,5372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 431,5372 By Matching Biggest Common Factor Method
Now, list down the factors of 431
:1,431
Now, list down the factors of 5372
:1,2,4,17,34,68,79,158,316,1343,2686,5372
Greatest Common Factor
We found the factors 431,5372 . The biggest common factor number is the GCF number.
So the greatest common factor 431,5372 is 1.
Lets's calculate LCM of 740,874
| 2 | 740, 874 |
| 370, 437 |
∴ So the LCM of the given numbers is 2 x 370 x 437 = 323380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323380
Therefore, the GCF of Fractions 431/740,5372/874 is 1/323380
Least Common Multiple of 740,874 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 740,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,874) x common factors =2 x 1 = 2
LCM(740,874) = ( 740 × 874 ) / 2
LCM(740,874) = 646760 / 2
LCM(740,874) = 323380
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FAQs on GCF of Fractions of 431/740, 5372/874
1. What is the HCF of 431,5372?
The HCF of 431,5372 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 431/740, 5372/874?
Answer: GCF of Numerators as per given numbers 431/740, 5372/874 is
GCF of Numerators i.e. for 431,5372 is 1
LCM of denominators i.e. for 740,874 is 323380.
Thus, GCF of Fractions is 1/323380.Finally, GCF of Fractions for 431/740, 5372/874 is 1/323380.