GCF of 4368/566, 5214/2650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4368/566, 5214/2650 i.e 6/749950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4368/566, 5214/2650.
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 4368/566,5214/2650?
Given fractions are 4368/566,5214/2650
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 4368/566,5214/2650, numerators are 4368,5214
Denominators are 566,2650
The GCF of 4368,5214 is 6 .
LCM of 566,2650 is 749950.
The greatest common factor of 4368/566,5214/2650 = [GCF of 4368,5214]/[LCM of 566,2650]= 6/749950
Therefore, the GCF of 4368/566,5214/2650 is 6/749950.
To find the highest common factor of 4368,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 4368 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 4368,5214 is 6.
Lets's calculate GCF of 4368,5214
| 2 | 4368, 5214 |
| 3 | 2184, 2607 |
| 728, 869 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4368,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 4368
:1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368
Now, list down the factors of 5214
:1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 4368,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 4368,5214 is 6.
Lets's calculate LCM of 566,2650
| 2 | 566, 2650 |
| 283, 1325 |
∴ So the LCM of the given numbers is 2 x 283 x 1325 = 749950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/749950
Therefore, the GCF of Fractions 4368/566,5214/2650 is 6/749950
Least Common Multiple of 566,2650 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 566,2650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,2650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,2650) x common factors =2 x 1 = 2
LCM(566,2650) = ( 566 × 2650 ) / 2
LCM(566,2650) = 1499900 / 2
LCM(566,2650) = 749950
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4368/566, 5214/2650
1. What is the HCF of 4368,5214?
The HCF of 4368,5214 is 6
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 4368/566, 5214/2650?
Answer: GCF of Numerators as per given numbers 4368/566, 5214/2650 is
GCF of Numerators i.e. for 4368,5214 is 6
LCM of denominators i.e. for 566,2650 is 749950.
Thus, GCF of Fractions is 6/749950.Finally, GCF of Fractions for 4368/566, 5214/2650 is 6/749950.