GCF of 4705/824, 8931/5306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4705/824, 8931/5306 i.e 1/2186072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4705/824, 8931/5306.
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 4705/824,8931/5306?
Given fractions are 4705/824,8931/5306
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 4705/824,8931/5306, numerators are 4705,8931
Denominators are 824,5306
The GCF of 4705,8931 is 1 .
LCM of 824,5306 is 2186072.
The greatest common factor of 4705/824,8931/5306 = [GCF of 4705,8931]/[LCM of 824,5306]= 1/2186072
Therefore, the GCF of 4705/824,8931/5306 is 1/2186072.
To find the highest common factor of 4705,8931, we have to find the factors of both numbers and list the highest common factor.
The factors of 4705 are 1, 5, 941, 4705
The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931
The HCF of 4705,8931 is 1.
Lets's calculate GCF of 4705,8931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4705,8931 By Matching Biggest Common Factor Method
Now, list down the factors of 4705
:1,5,941,4705
Now, list down the factors of 8931
:1,3,13,39,229,687,2977,8931
Greatest Common Factor
We found the factors 4705,8931 . The biggest common factor number is the GCF number.
So the greatest common factor 4705,8931 is 1.
Lets's calculate LCM of 824,5306
| 2 | 824, 5306 |
| 412, 2653 |
∴ So the LCM of the given numbers is 2 x 412 x 2653 = 2186072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2186072
Therefore, the GCF of Fractions 4705/824,8931/5306 is 1/2186072
Least Common Multiple of 824,5306 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 824,5306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,5306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,5306) x common factors =2 x 1 = 2
LCM(824,5306) = ( 824 × 5306 ) / 2
LCM(824,5306) = 4372144 / 2
LCM(824,5306) = 2186072
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FAQs on GCF of Fractions of 4705/824, 8931/5306
1. What is the HCF of 4705,8931?
The HCF of 4705,8931 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 4705/824, 8931/5306?
Answer: GCF of Numerators as per given numbers 4705/824, 8931/5306 is
GCF of Numerators i.e. for 4705,8931 is 1
LCM of denominators i.e. for 824,5306 is 2186072.
Thus, GCF of Fractions is 1/2186072.Finally, GCF of Fractions for 4705/824, 8931/5306 is 1/2186072.