GCF of 6443/995, 5682/9890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6443/995, 5682/9890 i.e 1/1968110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6443/995, 5682/9890.
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 6443/995,5682/9890?
Given fractions are 6443/995,5682/9890
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 6443/995,5682/9890, numerators are 6443,5682
Denominators are 995,9890
The GCF of 6443,5682 is 1 .
LCM of 995,9890 is 1968110.
The greatest common factor of 6443/995,5682/9890 = [GCF of 6443,5682]/[LCM of 995,9890]= 1/1968110
Therefore, the GCF of 6443/995,5682/9890 is 1/1968110.
To find the highest common factor of 6443,5682, we have to find the factors of both numbers and list the highest common factor.
The factors of 6443 are 1, 17, 379, 6443
The factors of 5682 are 1, 2, 3, 6, 947, 1894, 2841, 5682
The HCF of 6443,5682 is 1.
Lets's calculate GCF of 6443,5682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6443,5682 By Matching Biggest Common Factor Method
Now, list down the factors of 6443
:1,17,379,6443
Now, list down the factors of 5682
:1,2,3,6,947,1894,2841,5682
Greatest Common Factor
We found the factors 6443,5682 . The biggest common factor number is the GCF number.
So the greatest common factor 6443,5682 is 1.
Lets's calculate LCM of 995,9890
| 5 | 995, 9890 |
| 199, 1978 |
∴ So the LCM of the given numbers is 5 x 199 x 1978 = 1968110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1968110
Therefore, the GCF of Fractions 6443/995,5682/9890 is 1/1968110
Least Common Multiple of 995,9890 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 995,9890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,9890) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(995,9890) x common factors =5 x 1 = 5
LCM(995,9890) = ( 995 × 9890 ) / 5
LCM(995,9890) = 9840550 / 5
LCM(995,9890) = 1968110
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FAQs on GCF of Fractions of 6443/995, 5682/9890
1. What is the HCF of 6443,5682?
The HCF of 6443,5682 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 6443/995, 5682/9890?
Answer: GCF of Numerators as per given numbers 6443/995, 5682/9890 is
GCF of Numerators i.e. for 6443,5682 is 1
LCM of denominators i.e. for 995,9890 is 1968110.
Thus, GCF of Fractions is 1/1968110.Finally, GCF of Fractions for 6443/995, 5682/9890 is 1/1968110.