GCF of 926/51, 716/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 926/51, 716/398 i.e 2/20298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/51, 716/398.
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 926/51,716/398?
Given fractions are 926/51,716/398
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 926/51,716/398, numerators are 926,716
Denominators are 51,398
The GCF of 926,716 is 2 .
LCM of 51,398 is 20298.
The greatest common factor of 926/51,716/398 = [GCF of 926,716]/[LCM of 51,398]= 2/20298
Therefore, the GCF of 926/51,716/398 is 2/20298.
To find the highest common factor of 926,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 926 are 1, 2, 463, 926
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 926,716 is 2.
Lets's calculate GCF of 926,716
| 2 | 926, 716 |
| 463, 358 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 926,716 By Matching Biggest Common Factor Method
Now, list down the factors of 926
:1,2,463,926
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 926,716 . The biggest common factor number is the GCF number.
So the greatest common factor 926,716 is 2.
Lets's calculate LCM of 51,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 20298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20298
Therefore, the GCF of Fractions 926/51,716/398 is 2/20298
Least Common Multiple of 51,398 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 51,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,398) x common factors =1 x 1 = 1
LCM(51,398) = ( 51 × 398 ) / 1
LCM(51,398) = 20298 / 1
LCM(51,398) = 20298
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FAQs on GCF of Fractions of 926/51, 716/398
1. What is the HCF of 926,716?
The HCF of 926,716 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 926/51, 716/398?
Answer: GCF of Numerators as per given numbers 926/51, 716/398 is
GCF of Numerators i.e. for 926,716 is 2
LCM of denominators i.e. for 51,398 is 20298.
Thus, GCF of Fractions is 2/20298.Finally, GCF of Fractions for 926/51, 716/398 is 2/20298.