GCF of 8827/348, 6980/568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8827/348, 6980/568 i.e 1/49416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8827/348, 6980/568.
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 8827/348,6980/568?
Given fractions are 8827/348,6980/568
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 8827/348,6980/568, numerators are 8827,6980
Denominators are 348,568
The GCF of 8827,6980 is 1 .
LCM of 348,568 is 49416.
The greatest common factor of 8827/348,6980/568 = [GCF of 8827,6980]/[LCM of 348,568]= 1/49416
Therefore, the GCF of 8827/348,6980/568 is 1/49416.
To find the highest common factor of 8827,6980, we have to find the factors of both numbers and list the highest common factor.
The factors of 8827 are 1, 7, 13, 91, 97, 679, 1261, 8827
The factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980
The HCF of 8827,6980 is 1.
Lets's calculate GCF of 8827,6980
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8827,6980 By Matching Biggest Common Factor Method
Now, list down the factors of 8827
:1,7,13,91,97,679,1261,8827
Now, list down the factors of 6980
:1,2,4,5,10,20,349,698,1396,1745,3490,6980
Greatest Common Factor
We found the factors 8827,6980 . The biggest common factor number is the GCF number.
So the greatest common factor 8827,6980 is 1.
Lets's calculate LCM of 348,568
| 2 | 348, 568 |
| 2 | 174, 284 |
| 87, 142 |
∴ So the LCM of the given numbers is 2 x 2 x 87 x 142 = 49416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49416
Therefore, the GCF of Fractions 8827/348,6980/568 is 1/49416
Least Common Multiple of 348,568 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 348,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(348,568) x common factors =4 x 1 = 4
LCM(348,568) = ( 348 × 568 ) / 4
LCM(348,568) = 197664 / 4
LCM(348,568) = 49416
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FAQs on GCF of Fractions of 8827/348, 6980/568
1. What is the HCF of 8827,6980?
The HCF of 8827,6980 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 8827/348, 6980/568?
Answer: GCF of Numerators as per given numbers 8827/348, 6980/568 is
GCF of Numerators i.e. for 8827,6980 is 1
LCM of denominators i.e. for 348,568 is 49416.
Thus, GCF of Fractions is 1/49416.Finally, GCF of Fractions for 8827/348, 6980/568 is 1/49416.