GCF of 983/38, 564/8176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 983/38, 564/8176 i.e 1/155344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/38, 564/8176.
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 983/38,564/8176?
Given fractions are 983/38,564/8176
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 983/38,564/8176, numerators are 983,564
Denominators are 38,8176
The GCF of 983,564 is 1 .
LCM of 38,8176 is 155344.
The greatest common factor of 983/38,564/8176 = [GCF of 983,564]/[LCM of 38,8176]= 1/155344
Therefore, the GCF of 983/38,564/8176 is 1/155344.
To find the highest common factor of 983,564, 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 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 983,564 is 1.
Lets's calculate GCF of 983,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 983,564 By Matching Biggest Common Factor Method
Now, list down the factors of 983
:1,983
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 983,564 . The biggest common factor number is the GCF number.
So the greatest common factor 983,564 is 1.
Lets's calculate LCM of 38,8176
| 2 | 38, 8176 |
| 19, 4088 |
∴ So the LCM of the given numbers is 2 x 19 x 4088 = 155344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155344
Therefore, the GCF of Fractions 983/38,564/8176 is 1/155344
Least Common Multiple of 38,8176 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 38,8176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,8176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,8176) x common factors =2 x 1 = 2
LCM(38,8176) = ( 38 × 8176 ) / 2
LCM(38,8176) = 310688 / 2
LCM(38,8176) = 155344
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FAQs on GCF of Fractions of 983/38, 564/8176
1. What is the HCF of 983,564?
The HCF of 983,564 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 983/38, 564/8176?
Answer: GCF of Numerators as per given numbers 983/38, 564/8176 is
GCF of Numerators i.e. for 983,564 is 1
LCM of denominators i.e. for 38,8176 is 155344.
Thus, GCF of Fractions is 1/155344.Finally, GCF of Fractions for 983/38, 564/8176 is 1/155344.