GCF of 5092/147, 3290/8124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5092/147, 3290/8124 i.e 2/398076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5092/147, 3290/8124.
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 5092/147,3290/8124?
Given fractions are 5092/147,3290/8124
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 5092/147,3290/8124, numerators are 5092,3290
Denominators are 147,8124
The GCF of 5092,3290 is 2 .
LCM of 147,8124 is 398076.
The greatest common factor of 5092/147,3290/8124 = [GCF of 5092,3290]/[LCM of 147,8124]= 2/398076
Therefore, the GCF of 5092/147,3290/8124 is 2/398076.
To find the highest common factor of 5092,3290, we have to find the factors of both numbers and list the highest common factor.
The factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092
The factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
The HCF of 5092,3290 is 2.
Lets's calculate GCF of 5092,3290
| 2 | 5092, 3290 |
| 2546, 1645 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5092,3290 By Matching Biggest Common Factor Method
Now, list down the factors of 5092
:1,2,4,19,38,67,76,134,268,1273,2546,5092
Now, list down the factors of 3290
:1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290
Greatest Common Factor
We found the factors 5092,3290 . The biggest common factor number is the GCF number.
So the greatest common factor 5092,3290 is 2.
Lets's calculate LCM of 147,8124
| 3 | 147, 8124 |
| 49, 2708 |
∴ So the LCM of the given numbers is 3 x 49 x 2708 = 398076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398076
Therefore, the GCF of Fractions 5092/147,3290/8124 is 2/398076
Least Common Multiple of 147,8124 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 147,8124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,8124) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,8124) x common factors =3 x 1 = 3
LCM(147,8124) = ( 147 × 8124 ) / 3
LCM(147,8124) = 1194228 / 3
LCM(147,8124) = 398076
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FAQs on GCF of Fractions of 5092/147, 3290/8124
1. What is the HCF of 5092,3290?
The HCF of 5092,3290 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 5092/147, 3290/8124?
Answer: GCF of Numerators as per given numbers 5092/147, 3290/8124 is
GCF of Numerators i.e. for 5092,3290 is 2
LCM of denominators i.e. for 147,8124 is 398076.
Thus, GCF of Fractions is 2/398076.Finally, GCF of Fractions for 5092/147, 3290/8124 is 2/398076.