GCF of 4889/274, 8720/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4889/274, 8720/564 i.e 1/77268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4889/274, 8720/564.
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 4889/274,8720/564?
Given fractions are 4889/274,8720/564
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 4889/274,8720/564, numerators are 4889,8720
Denominators are 274,564
The GCF of 4889,8720 is 1 .
LCM of 274,564 is 77268.
The greatest common factor of 4889/274,8720/564 = [GCF of 4889,8720]/[LCM of 274,564]= 1/77268
Therefore, the GCF of 4889/274,8720/564 is 1/77268.
To find the highest common factor of 4889,8720, we have to find the factors of both numbers and list the highest common factor.
The factors of 4889 are 1, 4889
The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
The HCF of 4889,8720 is 1.
Lets's calculate GCF of 4889,8720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4889,8720 By Matching Biggest Common Factor Method
Now, list down the factors of 4889
:1,4889
Now, list down the factors of 8720
:1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Greatest Common Factor
We found the factors 4889,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 4889,8720 is 1.
Lets's calculate LCM of 274,564
| 2 | 274, 564 |
| 137, 282 |
∴ So the LCM of the given numbers is 2 x 137 x 282 = 77268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77268
Therefore, the GCF of Fractions 4889/274,8720/564 is 1/77268
Least Common Multiple of 274,564 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 274,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,564) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,564) x common factors =2 x 1 = 2
LCM(274,564) = ( 274 × 564 ) / 2
LCM(274,564) = 154536 / 2
LCM(274,564) = 77268
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FAQs on GCF of Fractions of 4889/274, 8720/564
1. What is the HCF of 4889,8720?
The HCF of 4889,8720 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 4889/274, 8720/564?
Answer: GCF of Numerators as per given numbers 4889/274, 8720/564 is
GCF of Numerators i.e. for 4889,8720 is 1
LCM of denominators i.e. for 274,564 is 77268.
Thus, GCF of Fractions is 1/77268.Finally, GCF of Fractions for 4889/274, 8720/564 is 1/77268.