GCF of 5316/584, 1810/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5316/584, 1810/976 i.e 2/71248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5316/584, 1810/976.
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 5316/584,1810/976?
Given fractions are 5316/584,1810/976
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 5316/584,1810/976, numerators are 5316,1810
Denominators are 584,976
The GCF of 5316,1810 is 2 .
LCM of 584,976 is 71248.
The greatest common factor of 5316/584,1810/976 = [GCF of 5316,1810]/[LCM of 584,976]= 2/71248
Therefore, the GCF of 5316/584,1810/976 is 2/71248.
To find the highest common factor of 5316,1810, we have to find the factors of both numbers and list the highest common factor.
The factors of 5316 are 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316
The factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810
The HCF of 5316,1810 is 2.
Lets's calculate GCF of 5316,1810
| 2 | 5316, 1810 |
| 2658, 905 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5316,1810 By Matching Biggest Common Factor Method
Now, list down the factors of 5316
:1,2,3,4,6,12,443,886,1329,1772,2658,5316
Now, list down the factors of 1810
:1,2,5,10,181,362,905,1810
Greatest Common Factor
We found the factors 5316,1810 . The biggest common factor number is the GCF number.
So the greatest common factor 5316,1810 is 2.
Lets's calculate LCM of 584,976
| 2 | 584, 976 |
| 2 | 292, 488 |
| 2 | 146, 244 |
| 73, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 122 = 71248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71248
Therefore, the GCF of Fractions 5316/584,1810/976 is 2/71248
Least Common Multiple of 584,976 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 584,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,976) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(584,976) x common factors =8 x 1 = 8
LCM(584,976) = ( 584 × 976 ) / 8
LCM(584,976) = 569984 / 8
LCM(584,976) = 71248
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FAQs on GCF of Fractions of 5316/584, 1810/976
1. What is the HCF of 5316,1810?
The HCF of 5316,1810 is 2
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 5316/584, 1810/976?
Answer: GCF of Numerators as per given numbers 5316/584, 1810/976 is
GCF of Numerators i.e. for 5316,1810 is 2
LCM of denominators i.e. for 584,976 is 71248.
Thus, GCF of Fractions is 2/71248.Finally, GCF of Fractions for 5316/584, 1810/976 is 2/71248.