GCF of 2884/490, 8967/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2884/490, 8967/564 i.e 7/138180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2884/490, 8967/564.
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 2884/490,8967/564?
Given fractions are 2884/490,8967/564
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 2884/490,8967/564, numerators are 2884,8967
Denominators are 490,564
The GCF of 2884,8967 is 7 .
LCM of 490,564 is 138180.
The greatest common factor of 2884/490,8967/564 = [GCF of 2884,8967]/[LCM of 490,564]= 7/138180
Therefore, the GCF of 2884/490,8967/564 is 7/138180.
To find the highest common factor of 2884,8967, we have to find the factors of both numbers and list the highest common factor.
The factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The HCF of 2884,8967 is 7.
Lets's calculate GCF of 2884,8967
| 7 | 2884, 8967 |
| 412, 1281 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2884,8967 By Matching Biggest Common Factor Method
Now, list down the factors of 2884
:1,2,4,7,14,28,103,206,412,721,1442,2884
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Greatest Common Factor
We found the factors 2884,8967 . The biggest common factor number is the GCF number.
So the greatest common factor 2884,8967 is 7.
Lets's calculate LCM of 490,564
| 2 | 490, 564 |
| 245, 282 |
∴ So the LCM of the given numbers is 2 x 245 x 282 = 138180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/138180
Therefore, the GCF of Fractions 2884/490,8967/564 is 7/138180
Least Common Multiple of 490,564 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 490,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,564) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,564) x common factors =2 x 1 = 2
LCM(490,564) = ( 490 × 564 ) / 2
LCM(490,564) = 276360 / 2
LCM(490,564) = 138180
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FAQs on GCF of Fractions of 2884/490, 8967/564
1. What is the HCF of 2884,8967?
The HCF of 2884,8967 is 7
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 2884/490, 8967/564?
Answer: GCF of Numerators as per given numbers 2884/490, 8967/564 is
GCF of Numerators i.e. for 2884,8967 is 7
LCM of denominators i.e. for 490,564 is 138180.
Thus, GCF of Fractions is 7/138180.Finally, GCF of Fractions for 2884/490, 8967/564 is 7/138180.