GCF of 5579/871, 1554/3564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5579/871, 1554/3564 i.e 7/3104244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5579/871, 1554/3564.
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 5579/871,1554/3564?
Given fractions are 5579/871,1554/3564
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 5579/871,1554/3564, numerators are 5579,1554
Denominators are 871,3564
The GCF of 5579,1554 is 7 .
LCM of 871,3564 is 3104244.
The greatest common factor of 5579/871,1554/3564 = [GCF of 5579,1554]/[LCM of 871,3564]= 7/3104244
Therefore, the GCF of 5579/871,1554/3564 is 7/3104244.
To find the highest common factor of 5579,1554, we have to find the factors of both numbers and list the highest common factor.
The factors of 5579 are 1, 7, 797, 5579
The factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554
The HCF of 5579,1554 is 7.
Lets's calculate GCF of 5579,1554
| 7 | 5579, 1554 |
| 797, 222 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5579,1554 By Matching Biggest Common Factor Method
Now, list down the factors of 5579
:1,7,797,5579
Now, list down the factors of 1554
:1,2,3,6,7,14,21,37,42,74,111,222,259,518,777,1554
Greatest Common Factor
We found the factors 5579,1554 . The biggest common factor number is the GCF number.
So the greatest common factor 5579,1554 is 7.
Lets's calculate LCM of 871,3564
Given numbers has no common factors except 1. So, there LCM is their product i.e 3104244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3104244
Therefore, the GCF of Fractions 5579/871,1554/3564 is 7/3104244
Least Common Multiple of 871,3564 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 871,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,3564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,3564) x common factors =1 x 1 = 1
LCM(871,3564) = ( 871 × 3564 ) / 1
LCM(871,3564) = 3104244 / 1
LCM(871,3564) = 3104244
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FAQs on GCF of Fractions of 5579/871, 1554/3564
1. What is the HCF of 5579,1554?
The HCF of 5579,1554 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 5579/871, 1554/3564?
Answer: GCF of Numerators as per given numbers 5579/871, 1554/3564 is
GCF of Numerators i.e. for 5579,1554 is 7
LCM of denominators i.e. for 871,3564 is 3104244.
Thus, GCF of Fractions is 7/3104244.Finally, GCF of Fractions for 5579/871, 1554/3564 is 7/3104244.