GCF of 9496/149, 1580/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9496/149, 1580/671 i.e 4/99979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9496/149, 1580/671.
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 9496/149,1580/671?
Given fractions are 9496/149,1580/671
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 9496/149,1580/671, numerators are 9496,1580
Denominators are 149,671
The GCF of 9496,1580 is 4 .
LCM of 149,671 is 99979.
The greatest common factor of 9496/149,1580/671 = [GCF of 9496,1580]/[LCM of 149,671]= 4/99979
Therefore, the GCF of 9496/149,1580/671 is 4/99979.
To find the highest common factor of 9496,1580, we have to find the factors of both numbers and list the highest common factor.
The factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496
The factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
The HCF of 9496,1580 is 4.
Lets's calculate GCF of 9496,1580
| 2 | 9496, 1580 |
| 2 | 4748, 790 |
| 2374, 395 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9496,1580 By Matching Biggest Common Factor Method
Now, list down the factors of 9496
:1,2,4,8,1187,2374,4748,9496
Now, list down the factors of 1580
:1,2,4,5,10,20,79,158,316,395,790,1580
Greatest Common Factor
We found the factors 9496,1580 . The biggest common factor number is the GCF number.
So the greatest common factor 9496,1580 is 4.
Lets's calculate LCM of 149,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 99979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/99979
Therefore, the GCF of Fractions 9496/149,1580/671 is 4/99979
Least Common Multiple of 149,671 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 149,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,671) x common factors =1 x 1 = 1
LCM(149,671) = ( 149 × 671 ) / 1
LCM(149,671) = 99979 / 1
LCM(149,671) = 99979
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FAQs on GCF of Fractions of 9496/149, 1580/671
1. What is the HCF of 9496,1580?
The HCF of 9496,1580 is 4
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 9496/149, 1580/671?
Answer: GCF of Numerators as per given numbers 9496/149, 1580/671 is
GCF of Numerators i.e. for 9496,1580 is 4
LCM of denominators i.e. for 149,671 is 99979.
Thus, GCF of Fractions is 4/99979.Finally, GCF of Fractions for 9496/149, 1580/671 is 4/99979.