GCF of 872/930, 4985/4406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 872/930, 4985/4406 i.e 1/2048790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/930, 4985/4406.
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 872/930,4985/4406?
Given fractions are 872/930,4985/4406
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 872/930,4985/4406, numerators are 872,4985
Denominators are 930,4406
The GCF of 872,4985 is 1 .
LCM of 930,4406 is 2048790.
The greatest common factor of 872/930,4985/4406 = [GCF of 872,4985]/[LCM of 930,4406]= 1/2048790
Therefore, the GCF of 872/930,4985/4406 is 1/2048790.
To find the highest common factor of 872,4985, we have to find the factors of both numbers and list the highest common factor.
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The factors of 4985 are 1, 5, 997, 4985
The HCF of 872,4985 is 1.
Lets's calculate GCF of 872,4985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 872,4985 By Matching Biggest Common Factor Method
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Now, list down the factors of 4985
:1,5,997,4985
Greatest Common Factor
We found the factors 872,4985 . The biggest common factor number is the GCF number.
So the greatest common factor 872,4985 is 1.
Lets's calculate LCM of 930,4406
| 2 | 930, 4406 |
| 465, 2203 |
∴ So the LCM of the given numbers is 2 x 465 x 2203 = 2048790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2048790
Therefore, the GCF of Fractions 872/930,4985/4406 is 1/2048790
Least Common Multiple of 930,4406 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 930,4406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,4406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,4406) x common factors =2 x 1 = 2
LCM(930,4406) = ( 930 × 4406 ) / 2
LCM(930,4406) = 4097580 / 2
LCM(930,4406) = 2048790
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FAQs on GCF of Fractions of 872/930, 4985/4406
1. What is the HCF of 872,4985?
The HCF of 872,4985 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 872/930, 4985/4406?
Answer: GCF of Numerators as per given numbers 872/930, 4985/4406 is
GCF of Numerators i.e. for 872,4985 is 1
LCM of denominators i.e. for 930,4406 is 2048790.
Thus, GCF of Fractions is 1/2048790.Finally, GCF of Fractions for 872/930, 4985/4406 is 1/2048790.