GCF of 5578/149, 7316/8744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5578/149, 7316/8744 i.e 2/1302856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5578/149, 7316/8744.
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 5578/149,7316/8744?
Given fractions are 5578/149,7316/8744
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 5578/149,7316/8744, numerators are 5578,7316
Denominators are 149,8744
The GCF of 5578,7316 is 2 .
LCM of 149,8744 is 1302856.
The greatest common factor of 5578/149,7316/8744 = [GCF of 5578,7316]/[LCM of 149,8744]= 2/1302856
Therefore, the GCF of 5578/149,7316/8744 is 2/1302856.
To find the highest common factor of 5578,7316, we have to find the factors of both numbers and list the highest common factor.
The factors of 5578 are 1, 2, 2789, 5578
The factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The HCF of 5578,7316 is 2.
Lets's calculate GCF of 5578,7316
| 2 | 5578, 7316 |
| 2789, 3658 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5578,7316 By Matching Biggest Common Factor Method
Now, list down the factors of 5578
:1,2,2789,5578
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors 5578,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 5578,7316 is 2.
Lets's calculate LCM of 149,8744
Given numbers has no common factors except 1. So, there LCM is their product i.e 1302856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1302856
Therefore, the GCF of Fractions 5578/149,7316/8744 is 2/1302856
Least Common Multiple of 149,8744 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 149,8744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,8744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,8744) x common factors =1 x 1 = 1
LCM(149,8744) = ( 149 × 8744 ) / 1
LCM(149,8744) = 1302856 / 1
LCM(149,8744) = 1302856
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FAQs on GCF of Fractions of 5578/149, 7316/8744
1. What is the HCF of 5578,7316?
The HCF of 5578,7316 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 5578/149, 7316/8744?
Answer: GCF of Numerators as per given numbers 5578/149, 7316/8744 is
GCF of Numerators i.e. for 5578,7316 is 2
LCM of denominators i.e. for 149,8744 is 1302856.
Thus, GCF of Fractions is 2/1302856.Finally, GCF of Fractions for 5578/149, 7316/8744 is 2/1302856.