GCF of 5721/724, 4308/2098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5721/724, 4308/2098 i.e 3/759476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5721/724, 4308/2098.
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 5721/724,4308/2098?
Given fractions are 5721/724,4308/2098
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 5721/724,4308/2098, numerators are 5721,4308
Denominators are 724,2098
The GCF of 5721,4308 is 3 .
LCM of 724,2098 is 759476.
The greatest common factor of 5721/724,4308/2098 = [GCF of 5721,4308]/[LCM of 724,2098]= 3/759476
Therefore, the GCF of 5721/724,4308/2098 is 3/759476.
To find the highest common factor of 5721,4308, we have to find the factors of both numbers and list the highest common factor.
The factors of 5721 are 1, 3, 1907, 5721
The factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308
The HCF of 5721,4308 is 3.
Lets's calculate GCF of 5721,4308
| 3 | 5721, 4308 |
| 1907, 1436 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5721,4308 By Matching Biggest Common Factor Method
Now, list down the factors of 5721
:1,3,1907,5721
Now, list down the factors of 4308
:1,2,3,4,6,12,359,718,1077,1436,2154,4308
Greatest Common Factor
We found the factors 5721,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 5721,4308 is 3.
Lets's calculate LCM of 724,2098
| 2 | 724, 2098 |
| 362, 1049 |
∴ So the LCM of the given numbers is 2 x 362 x 1049 = 759476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/759476
Therefore, the GCF of Fractions 5721/724,4308/2098 is 3/759476
Least Common Multiple of 724,2098 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 724,2098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,2098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,2098) x common factors =2 x 1 = 2
LCM(724,2098) = ( 724 × 2098 ) / 2
LCM(724,2098) = 1518952 / 2
LCM(724,2098) = 759476
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FAQs on GCF of Fractions of 5721/724, 4308/2098
1. What is the HCF of 5721,4308?
The HCF of 5721,4308 is 3
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 5721/724, 4308/2098?
Answer: GCF of Numerators as per given numbers 5721/724, 4308/2098 is
GCF of Numerators i.e. for 5721,4308 is 3
LCM of denominators i.e. for 724,2098 is 759476.
Thus, GCF of Fractions is 3/759476.Finally, GCF of Fractions for 5721/724, 4308/2098 is 3/759476.