GCF of 643/482, 8882/730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 643/482, 8882/730 i.e 1/175930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 643/482, 8882/730.
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 643/482,8882/730?
Given fractions are 643/482,8882/730
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 643/482,8882/730, numerators are 643,8882
Denominators are 482,730
The GCF of 643,8882 is 1 .
LCM of 482,730 is 175930.
The greatest common factor of 643/482,8882/730 = [GCF of 643,8882]/[LCM of 482,730]= 1/175930
Therefore, the GCF of 643/482,8882/730 is 1/175930.
To find the highest common factor of 643,8882, we have to find the factors of both numbers and list the highest common factor.
The factors of 643 are 1, 643
The factors of 8882 are 1, 2, 4441, 8882
The HCF of 643,8882 is 1.
Lets's calculate GCF of 643,8882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 643,8882 By Matching Biggest Common Factor Method
Now, list down the factors of 643
:1,643
Now, list down the factors of 8882
:1,2,4441,8882
Greatest Common Factor
We found the factors 643,8882 . The biggest common factor number is the GCF number.
So the greatest common factor 643,8882 is 1.
Lets's calculate LCM of 482,730
| 2 | 482, 730 |
| 241, 365 |
∴ So the LCM of the given numbers is 2 x 241 x 365 = 175930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175930
Therefore, the GCF of Fractions 643/482,8882/730 is 1/175930
Least Common Multiple of 482,730 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 482,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,730) x common factors =2 x 1 = 2
LCM(482,730) = ( 482 × 730 ) / 2
LCM(482,730) = 351860 / 2
LCM(482,730) = 175930
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FAQs on GCF of Fractions of 643/482, 8882/730
1. What is the HCF of 643,8882?
The HCF of 643,8882 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 643/482, 8882/730?
Answer: GCF of Numerators as per given numbers 643/482, 8882/730 is
GCF of Numerators i.e. for 643,8882 is 1
LCM of denominators i.e. for 482,730 is 175930.
Thus, GCF of Fractions is 1/175930.Finally, GCF of Fractions for 643/482, 8882/730 is 1/175930.