GCF of 6980/741, 6184/7038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6980/741, 6184/7038 i.e 4/1738386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6980/741, 6184/7038.
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 6980/741,6184/7038?
Given fractions are 6980/741,6184/7038
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 6980/741,6184/7038, numerators are 6980,6184
Denominators are 741,7038
The GCF of 6980,6184 is 4 .
LCM of 741,7038 is 1738386.
The greatest common factor of 6980/741,6184/7038 = [GCF of 6980,6184]/[LCM of 741,7038]= 4/1738386
Therefore, the GCF of 6980/741,6184/7038 is 4/1738386.
To find the highest common factor of 6980,6184, we have to find the factors of both numbers and list the highest common factor.
The factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980
The factors of 6184 are 1, 2, 4, 8, 773, 1546, 3092, 6184
The HCF of 6980,6184 is 4.
Lets's calculate GCF of 6980,6184
| 2 | 6980, 6184 |
| 2 | 3490, 3092 |
| 1745, 1546 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6980,6184 By Matching Biggest Common Factor Method
Now, list down the factors of 6980
:1,2,4,5,10,20,349,698,1396,1745,3490,6980
Now, list down the factors of 6184
:1,2,4,8,773,1546,3092,6184
Greatest Common Factor
We found the factors 6980,6184 . The biggest common factor number is the GCF number.
So the greatest common factor 6980,6184 is 4.
Lets's calculate LCM of 741,7038
| 3 | 741, 7038 |
| 247, 2346 |
∴ So the LCM of the given numbers is 3 x 247 x 2346 = 1738386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1738386
Therefore, the GCF of Fractions 6980/741,6184/7038 is 4/1738386
Least Common Multiple of 741,7038 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 741,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,7038) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,7038) x common factors =3 x 1 = 3
LCM(741,7038) = ( 741 × 7038 ) / 3
LCM(741,7038) = 5215158 / 3
LCM(741,7038) = 1738386
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FAQs on GCF of Fractions of 6980/741, 6184/7038
1. What is the HCF of 6980,6184?
The HCF of 6980,6184 is 4
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 6980/741, 6184/7038?
Answer: GCF of Numerators as per given numbers 6980/741, 6184/7038 is
GCF of Numerators i.e. for 6980,6184 is 4
LCM of denominators i.e. for 741,7038 is 1738386.
Thus, GCF of Fractions is 4/1738386.Finally, GCF of Fractions for 6980/741, 6184/7038 is 4/1738386.