GCF of 5182/974, 9432/1966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5182/974, 9432/1966 i.e 2/957442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5182/974, 9432/1966.
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 5182/974,9432/1966?
Given fractions are 5182/974,9432/1966
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 5182/974,9432/1966, numerators are 5182,9432
Denominators are 974,1966
The GCF of 5182,9432 is 2 .
LCM of 974,1966 is 957442.
The greatest common factor of 5182/974,9432/1966 = [GCF of 5182,9432]/[LCM of 974,1966]= 2/957442
Therefore, the GCF of 5182/974,9432/1966 is 2/957442.
To find the highest common factor of 5182,9432, we have to find the factors of both numbers and list the highest common factor.
The factors of 5182 are 1, 2, 2591, 5182
The factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432
The HCF of 5182,9432 is 2.
Lets's calculate GCF of 5182,9432
| 2 | 5182, 9432 |
| 2591, 4716 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5182,9432 By Matching Biggest Common Factor Method
Now, list down the factors of 5182
:1,2,2591,5182
Now, list down the factors of 9432
:1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432
Greatest Common Factor
We found the factors 5182,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 5182,9432 is 2.
Lets's calculate LCM of 974,1966
| 2 | 974, 1966 |
| 487, 983 |
∴ So the LCM of the given numbers is 2 x 487 x 983 = 957442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/957442
Therefore, the GCF of Fractions 5182/974,9432/1966 is 2/957442
Least Common Multiple of 974,1966 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 974,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,1966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,1966) x common factors =2 x 1 = 2
LCM(974,1966) = ( 974 × 1966 ) / 2
LCM(974,1966) = 1914884 / 2
LCM(974,1966) = 957442
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FAQs on GCF of Fractions of 5182/974, 9432/1966
1. What is the HCF of 5182,9432?
The HCF of 5182,9432 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 5182/974, 9432/1966?
Answer: GCF of Numerators as per given numbers 5182/974, 9432/1966 is
GCF of Numerators i.e. for 5182,9432 is 2
LCM of denominators i.e. for 974,1966 is 957442.
Thus, GCF of Fractions is 2/957442.Finally, GCF of Fractions for 5182/974, 9432/1966 is 2/957442.