GCF of 5968/249, 1160/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5968/249, 1160/782 i.e 8/194718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5968/249, 1160/782.
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 5968/249,1160/782?
Given fractions are 5968/249,1160/782
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 5968/249,1160/782, numerators are 5968,1160
Denominators are 249,782
The GCF of 5968,1160 is 8 .
LCM of 249,782 is 194718.
The greatest common factor of 5968/249,1160/782 = [GCF of 5968,1160]/[LCM of 249,782]= 8/194718
Therefore, the GCF of 5968/249,1160/782 is 8/194718.
To find the highest common factor of 5968,1160, we have to find the factors of both numbers and list the highest common factor.
The factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968
The factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
The HCF of 5968,1160 is 8.
Lets's calculate GCF of 5968,1160
| 2 | 5968, 1160 |
| 2 | 2984, 580 |
| 2 | 1492, 290 |
| 746, 145 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5968,1160 By Matching Biggest Common Factor Method
Now, list down the factors of 5968
:1,2,4,8,16,373,746,1492,2984,5968
Now, list down the factors of 1160
:1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160
Greatest Common Factor
We found the factors 5968,1160 . The biggest common factor number is the GCF number.
So the greatest common factor 5968,1160 is 8.
Lets's calculate LCM of 249,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 194718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/194718
Therefore, the GCF of Fractions 5968/249,1160/782 is 8/194718
Least Common Multiple of 249,782 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 249,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,782) x common factors =1 x 1 = 1
LCM(249,782) = ( 249 × 782 ) / 1
LCM(249,782) = 194718 / 1
LCM(249,782) = 194718
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FAQs on GCF of Fractions of 5968/249, 1160/782
1. What is the HCF of 5968,1160?
The HCF of 5968,1160 is 8
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 5968/249, 1160/782?
Answer: GCF of Numerators as per given numbers 5968/249, 1160/782 is
GCF of Numerators i.e. for 5968,1160 is 8
LCM of denominators i.e. for 249,782 is 194718.
Thus, GCF of Fractions is 8/194718.Finally, GCF of Fractions for 5968/249, 1160/782 is 8/194718.