GCF of 2124/717, 5364/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2124/717, 5364/276 i.e 36/65964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2124/717, 5364/276.
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 2124/717,5364/276?
Given fractions are 2124/717,5364/276
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 2124/717,5364/276, numerators are 2124,5364
Denominators are 717,276
The GCF of 2124,5364 is 36 .
LCM of 717,276 is 65964.
The greatest common factor of 2124/717,5364/276 = [GCF of 2124,5364]/[LCM of 717,276]= 36/65964
Therefore, the GCF of 2124/717,5364/276 is 36/65964.
To find the highest common factor of 2124,5364, we have to find the factors of both numbers and list the highest common factor.
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364
The HCF of 2124,5364 is 36.
Lets's calculate GCF of 2124,5364
| 2 | 2124, 5364 |
| 2 | 1062, 2682 |
| 3 | 531, 1341 |
| 3 | 177, 447 |
| 59, 149 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 2124,5364 By Matching Biggest Common Factor Method
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Now, list down the factors of 5364
:1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Greatest Common Factor
We found the factors 2124,5364 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,5364 is 36.
Lets's calculate LCM of 717,276
| 3 | 717, 276 |
| 239, 92 |
∴ So the LCM of the given numbers is 3 x 239 x 92 = 65964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/65964
Therefore, the GCF of Fractions 2124/717,5364/276 is 36/65964
Least Common Multiple of 717,276 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 717,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,276) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,276) x common factors =3 x 1 = 3
LCM(717,276) = ( 717 × 276 ) / 3
LCM(717,276) = 197892 / 3
LCM(717,276) = 65964
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FAQs on GCF of Fractions of 2124/717, 5364/276
1. What is the HCF of 2124,5364?
The HCF of 2124,5364 is 36
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 2124/717, 5364/276?
Answer: GCF of Numerators as per given numbers 2124/717, 5364/276 is
GCF of Numerators i.e. for 2124,5364 is 36
LCM of denominators i.e. for 717,276 is 65964.
Thus, GCF of Fractions is 36/65964.Finally, GCF of Fractions for 2124/717, 5364/276 is 36/65964.