GCF of 7970/869, 6868/7403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7970/869, 6868/7403 i.e 2/584837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7970/869, 6868/7403.
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 7970/869,6868/7403?
Given fractions are 7970/869,6868/7403
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 7970/869,6868/7403, numerators are 7970,6868
Denominators are 869,7403
The GCF of 7970,6868 is 2 .
LCM of 869,7403 is 584837.
The greatest common factor of 7970/869,6868/7403 = [GCF of 7970,6868]/[LCM of 869,7403]= 2/584837
Therefore, the GCF of 7970/869,6868/7403 is 2/584837.
To find the highest common factor of 7970,6868, we have to find the factors of both numbers and list the highest common factor.
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868
The HCF of 7970,6868 is 2.
Lets's calculate GCF of 7970,6868
| 2 | 7970, 6868 |
| 3985, 3434 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7970,6868 By Matching Biggest Common Factor Method
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Now, list down the factors of 6868
:1,2,4,17,34,68,101,202,404,1717,3434,6868
Greatest Common Factor
We found the factors 7970,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 7970,6868 is 2.
Lets's calculate LCM of 869,7403
| 11 | 869, 7403 |
| 79, 673 |
∴ So the LCM of the given numbers is 11 x 79 x 673 = 584837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/584837
Therefore, the GCF of Fractions 7970/869,6868/7403 is 2/584837
Least Common Multiple of 869,7403 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 869,7403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,7403) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(869,7403) x common factors =11 x 1 = 11
LCM(869,7403) = ( 869 × 7403 ) / 11
LCM(869,7403) = 6433207 / 11
LCM(869,7403) = 584837
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FAQs on GCF of Fractions of 7970/869, 6868/7403
1. What is the HCF of 7970,6868?
The HCF of 7970,6868 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 7970/869, 6868/7403?
Answer: GCF of Numerators as per given numbers 7970/869, 6868/7403 is
GCF of Numerators i.e. for 7970,6868 is 2
LCM of denominators i.e. for 869,7403 is 584837.
Thus, GCF of Fractions is 2/584837.Finally, GCF of Fractions for 7970/869, 6868/7403 is 2/584837.