GCF of 983/58, 172/5356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 983/58, 172/5356 i.e 1/155324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/58, 172/5356.
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 983/58,172/5356?
Given fractions are 983/58,172/5356
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 983/58,172/5356, numerators are 983,172
Denominators are 58,5356
The GCF of 983,172 is 1 .
LCM of 58,5356 is 155324.
The greatest common factor of 983/58,172/5356 = [GCF of 983,172]/[LCM of 58,5356]= 1/155324
Therefore, the GCF of 983/58,172/5356 is 1/155324.
To find the highest common factor of 983,172, we have to find the factors of both numbers and list the highest common factor.
The factors of 983 are 1, 983
The factors of 172 are 1, 2, 4, 43, 86, 172
The HCF of 983,172 is 1.
Lets's calculate GCF of 983,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 983,172 By Matching Biggest Common Factor Method
Now, list down the factors of 983
:1,983
Now, list down the factors of 172
:1,2,4,43,86,172
Greatest Common Factor
We found the factors 983,172 . The biggest common factor number is the GCF number.
So the greatest common factor 983,172 is 1.
Lets's calculate LCM of 58,5356
| 2 | 58, 5356 |
| 29, 2678 |
∴ So the LCM of the given numbers is 2 x 29 x 2678 = 155324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155324
Therefore, the GCF of Fractions 983/58,172/5356 is 1/155324
Least Common Multiple of 58,5356 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 58,5356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,5356) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,5356) x common factors =2 x 1 = 2
LCM(58,5356) = ( 58 × 5356 ) / 2
LCM(58,5356) = 310648 / 2
LCM(58,5356) = 155324
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FAQs on GCF of Fractions of 983/58, 172/5356
1. What is the HCF of 983,172?
The HCF of 983,172 is 1
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 983/58, 172/5356?
Answer: GCF of Numerators as per given numbers 983/58, 172/5356 is
GCF of Numerators i.e. for 983,172 is 1
LCM of denominators i.e. for 58,5356 is 155324.
Thus, GCF of Fractions is 1/155324.Finally, GCF of Fractions for 983/58, 172/5356 is 1/155324.