GCF of 6853/398, 3970/5070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6853/398, 3970/5070 i.e 1/1008930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6853/398, 3970/5070.
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 6853/398,3970/5070?
Given fractions are 6853/398,3970/5070
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 6853/398,3970/5070, numerators are 6853,3970
Denominators are 398,5070
The GCF of 6853,3970 is 1 .
LCM of 398,5070 is 1008930.
The greatest common factor of 6853/398,3970/5070 = [GCF of 6853,3970]/[LCM of 398,5070]= 1/1008930
Therefore, the GCF of 6853/398,3970/5070 is 1/1008930.
To find the highest common factor of 6853,3970, we have to find the factors of both numbers and list the highest common factor.
The factors of 6853 are 1, 7, 11, 77, 89, 623, 979, 6853
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The HCF of 6853,3970 is 1.
Lets's calculate GCF of 6853,3970
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6853,3970 By Matching Biggest Common Factor Method
Now, list down the factors of 6853
:1,7,11,77,89,623,979,6853
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Greatest Common Factor
We found the factors 6853,3970 . The biggest common factor number is the GCF number.
So the greatest common factor 6853,3970 is 1.
Lets's calculate LCM of 398,5070
| 2 | 398, 5070 |
| 199, 2535 |
∴ So the LCM of the given numbers is 2 x 199 x 2535 = 1008930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008930
Therefore, the GCF of Fractions 6853/398,3970/5070 is 1/1008930
Least Common Multiple of 398,5070 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 398,5070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,5070) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,5070) x common factors =2 x 1 = 2
LCM(398,5070) = ( 398 × 5070 ) / 2
LCM(398,5070) = 2017860 / 2
LCM(398,5070) = 1008930
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FAQs on GCF of Fractions of 6853/398, 3970/5070
1. What is the HCF of 6853,3970?
The HCF of 6853,3970 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 6853/398, 3970/5070?
Answer: GCF of Numerators as per given numbers 6853/398, 3970/5070 is
GCF of Numerators i.e. for 6853,3970 is 1
LCM of denominators i.e. for 398,5070 is 1008930.
Thus, GCF of Fractions is 1/1008930.Finally, GCF of Fractions for 6853/398, 3970/5070 is 1/1008930.