GCF of 5846/581, 1630/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5846/581, 1630/724 i.e 2/420644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5846/581, 1630/724.
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 5846/581,1630/724?
Given fractions are 5846/581,1630/724
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 5846/581,1630/724, numerators are 5846,1630
Denominators are 581,724
The GCF of 5846,1630 is 2 .
LCM of 581,724 is 420644.
The greatest common factor of 5846/581,1630/724 = [GCF of 5846,1630]/[LCM of 581,724]= 2/420644
Therefore, the GCF of 5846/581,1630/724 is 2/420644.
To find the highest common factor of 5846,1630, we have to find the factors of both numbers and list the highest common factor.
The factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846
The factors of 1630 are 1, 2, 5, 10, 163, 326, 815, 1630
The HCF of 5846,1630 is 2.
Lets's calculate GCF of 5846,1630
| 2 | 5846, 1630 |
| 2923, 815 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5846,1630 By Matching Biggest Common Factor Method
Now, list down the factors of 5846
:1,2,37,74,79,158,2923,5846
Now, list down the factors of 1630
:1,2,5,10,163,326,815,1630
Greatest Common Factor
We found the factors 5846,1630 . The biggest common factor number is the GCF number.
So the greatest common factor 5846,1630 is 2.
Lets's calculate LCM of 581,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 420644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420644
Therefore, the GCF of Fractions 5846/581,1630/724 is 2/420644
Least Common Multiple of 581,724 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 581,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,724) x common factors =1 x 1 = 1
LCM(581,724) = ( 581 × 724 ) / 1
LCM(581,724) = 420644 / 1
LCM(581,724) = 420644
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FAQs on GCF of Fractions of 5846/581, 1630/724
1. What is the HCF of 5846,1630?
The HCF of 5846,1630 is 2
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 5846/581, 1630/724?
Answer: GCF of Numerators as per given numbers 5846/581, 1630/724 is
GCF of Numerators i.e. for 5846,1630 is 2
LCM of denominators i.e. for 581,724 is 420644.
Thus, GCF of Fractions is 2/420644.Finally, GCF of Fractions for 5846/581, 1630/724 is 2/420644.