GCF of 8854/608, 9793/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8854/608, 9793/952 i.e 1/72352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8854/608, 9793/952.
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 8854/608,9793/952?
Given fractions are 8854/608,9793/952
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 8854/608,9793/952, numerators are 8854,9793
Denominators are 608,952
The GCF of 8854,9793 is 1 .
LCM of 608,952 is 72352.
The greatest common factor of 8854/608,9793/952 = [GCF of 8854,9793]/[LCM of 608,952]= 1/72352
Therefore, the GCF of 8854/608,9793/952 is 1/72352.
To find the highest common factor of 8854,9793, we have to find the factors of both numbers and list the highest common factor.
The factors of 8854 are 1, 2, 19, 38, 233, 466, 4427, 8854
The factors of 9793 are 1, 7, 1399, 9793
The HCF of 8854,9793 is 1.
Lets's calculate GCF of 8854,9793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8854,9793 By Matching Biggest Common Factor Method
Now, list down the factors of 8854
:1,2,19,38,233,466,4427,8854
Now, list down the factors of 9793
:1,7,1399,9793
Greatest Common Factor
We found the factors 8854,9793 . The biggest common factor number is the GCF number.
So the greatest common factor 8854,9793 is 1.
Lets's calculate LCM of 608,952
| 2 | 608, 952 |
| 2 | 304, 476 |
| 2 | 152, 238 |
| 76, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 119 = 72352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72352
Therefore, the GCF of Fractions 8854/608,9793/952 is 1/72352
Least Common Multiple of 608,952 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 608,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,952) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(608,952) x common factors =8 x 1 = 8
LCM(608,952) = ( 608 × 952 ) / 8
LCM(608,952) = 578816 / 8
LCM(608,952) = 72352
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FAQs on GCF of Fractions of 8854/608, 9793/952
1. What is the HCF of 8854,9793?
The HCF of 8854,9793 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 8854/608, 9793/952?
Answer: GCF of Numerators as per given numbers 8854/608, 9793/952 is
GCF of Numerators i.e. for 8854,9793 is 1
LCM of denominators i.e. for 608,952 is 72352.
Thus, GCF of Fractions is 1/72352.Finally, GCF of Fractions for 8854/608, 9793/952 is 1/72352.