GCF of 5716/896, 8038/5634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5716/896, 8038/5634 i.e 2/2524032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5716/896, 8038/5634.
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 5716/896,8038/5634?
Given fractions are 5716/896,8038/5634
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 5716/896,8038/5634, numerators are 5716,8038
Denominators are 896,5634
The GCF of 5716,8038 is 2 .
LCM of 896,5634 is 2524032.
The greatest common factor of 5716/896,8038/5634 = [GCF of 5716,8038]/[LCM of 896,5634]= 2/2524032
Therefore, the GCF of 5716/896,8038/5634 is 2/2524032.
To find the highest common factor of 5716,8038, we have to find the factors of both numbers and list the highest common factor.
The factors of 5716 are 1, 2, 4, 1429, 2858, 5716
The factors of 8038 are 1, 2, 4019, 8038
The HCF of 5716,8038 is 2.
Lets's calculate GCF of 5716,8038
| 2 | 5716, 8038 |
| 2858, 4019 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5716,8038 By Matching Biggest Common Factor Method
Now, list down the factors of 5716
:1,2,4,1429,2858,5716
Now, list down the factors of 8038
:1,2,4019,8038
Greatest Common Factor
We found the factors 5716,8038 . The biggest common factor number is the GCF number.
So the greatest common factor 5716,8038 is 2.
Lets's calculate LCM of 896,5634
| 2 | 896, 5634 |
| 448, 2817 |
∴ So the LCM of the given numbers is 2 x 448 x 2817 = 2524032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2524032
Therefore, the GCF of Fractions 5716/896,8038/5634 is 2/2524032
Least Common Multiple of 896,5634 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 896,5634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,5634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,5634) x common factors =2 x 1 = 2
LCM(896,5634) = ( 896 × 5634 ) / 2
LCM(896,5634) = 5048064 / 2
LCM(896,5634) = 2524032
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FAQs on GCF of Fractions of 5716/896, 8038/5634
1. What is the HCF of 5716,8038?
The HCF of 5716,8038 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 5716/896, 8038/5634?
Answer: GCF of Numerators as per given numbers 5716/896, 8038/5634 is
GCF of Numerators i.e. for 5716,8038 is 2
LCM of denominators i.e. for 896,5634 is 2524032.
Thus, GCF of Fractions is 2/2524032.Finally, GCF of Fractions for 5716/896, 8038/5634 is 2/2524032.