GCF of 7922/684, 6002/3849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7922/684, 6002/3849 i.e 2/877572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7922/684, 6002/3849.
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 7922/684,6002/3849?
Given fractions are 7922/684,6002/3849
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 7922/684,6002/3849, numerators are 7922,6002
Denominators are 684,3849
The GCF of 7922,6002 is 2 .
LCM of 684,3849 is 877572.
The greatest common factor of 7922/684,6002/3849 = [GCF of 7922,6002]/[LCM of 684,3849]= 2/877572
Therefore, the GCF of 7922/684,6002/3849 is 2/877572.
To find the highest common factor of 7922,6002, we have to find the factors of both numbers and list the highest common factor.
The factors of 7922 are 1, 2, 17, 34, 233, 466, 3961, 7922
The factors of 6002 are 1, 2, 3001, 6002
The HCF of 7922,6002 is 2.
Lets's calculate GCF of 7922,6002
| 2 | 7922, 6002 |
| 3961, 3001 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7922,6002 By Matching Biggest Common Factor Method
Now, list down the factors of 7922
:1,2,17,34,233,466,3961,7922
Now, list down the factors of 6002
:1,2,3001,6002
Greatest Common Factor
We found the factors 7922,6002 . The biggest common factor number is the GCF number.
So the greatest common factor 7922,6002 is 2.
Lets's calculate LCM of 684,3849
| 3 | 684, 3849 |
| 228, 1283 |
∴ So the LCM of the given numbers is 3 x 228 x 1283 = 877572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/877572
Therefore, the GCF of Fractions 7922/684,6002/3849 is 2/877572
Least Common Multiple of 684,3849 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 684,3849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,3849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(684,3849) x common factors =3 x 1 = 3
LCM(684,3849) = ( 684 × 3849 ) / 3
LCM(684,3849) = 2632716 / 3
LCM(684,3849) = 877572
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FAQs on GCF of Fractions of 7922/684, 6002/3849
1. What is the HCF of 7922,6002?
The HCF of 7922,6002 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 7922/684, 6002/3849?
Answer: GCF of Numerators as per given numbers 7922/684, 6002/3849 is
GCF of Numerators i.e. for 7922,6002 is 2
LCM of denominators i.e. for 684,3849 is 877572.
Thus, GCF of Fractions is 2/877572.Finally, GCF of Fractions for 7922/684, 6002/3849 is 2/877572.