GCF of 846/28, 975/5824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 846/28, 975/5824 i.e 3/5824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/28, 975/5824.
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 846/28,975/5824?
Given fractions are 846/28,975/5824
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 846/28,975/5824, numerators are 846,975
Denominators are 28,5824
The GCF of 846,975 is 3 .
LCM of 28,5824 is 5824.
The greatest common factor of 846/28,975/5824 = [GCF of 846,975]/[LCM of 28,5824]= 3/5824
Therefore, the GCF of 846/28,975/5824 is 3/5824.
To find the highest common factor of 846,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 846,975 is 3.
Lets's calculate GCF of 846,975
| 3 | 846, 975 |
| 282, 325 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 846,975 By Matching Biggest Common Factor Method
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 846,975 . The biggest common factor number is the GCF number.
So the greatest common factor 846,975 is 3.
Lets's calculate LCM of 28,5824
| 2 | 28, 5824 |
| 2 | 14, 2912 |
| 7 | 7, 1456 |
| 1, 208 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 208 = 5824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5824
Therefore, the GCF of Fractions 846/28,975/5824 is 3/5824
Least Common Multiple of 28,5824 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 28,5824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,5824) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(28,5824) x common factors =28 x 1 = 28
LCM(28,5824) = ( 28 × 5824 ) / 28
LCM(28,5824) = 163072 / 28
LCM(28,5824) = 5824
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FAQs on GCF of Fractions of 846/28, 975/5824
1. What is the HCF of 846,975?
The HCF of 846,975 is 3
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 846/28, 975/5824?
Answer: GCF of Numerators as per given numbers 846/28, 975/5824 is
GCF of Numerators i.e. for 846,975 is 3
LCM of denominators i.e. for 28,5824 is 5824.
Thus, GCF of Fractions is 3/5824.Finally, GCF of Fractions for 846/28, 975/5824 is 3/5824.