GCF of 4368/380, 7131/4237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4368/380, 7131/4237 i.e 3/84740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4368/380, 7131/4237.
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 4368/380,7131/4237?
Given fractions are 4368/380,7131/4237
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 4368/380,7131/4237, numerators are 4368,7131
Denominators are 380,4237
The GCF of 4368,7131 is 3 .
LCM of 380,4237 is 84740.
The greatest common factor of 4368/380,7131/4237 = [GCF of 4368,7131]/[LCM of 380,4237]= 3/84740
Therefore, the GCF of 4368/380,7131/4237 is 3/84740.
To find the highest common factor of 4368,7131, 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 7131 are 1, 3, 2377, 7131
The HCF of 4368,7131 is 3.
Lets's calculate GCF of 4368,7131
| 3 | 4368, 7131 |
| 1456, 2377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4368,7131 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 7131
:1,3,2377,7131
Greatest Common Factor
We found the factors 4368,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 4368,7131 is 3.
Lets's calculate LCM of 380,4237
| 19 | 380, 4237 |
| 20, 223 |
∴ So the LCM of the given numbers is 19 x 20 x 223 = 84740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/84740
Therefore, the GCF of Fractions 4368/380,7131/4237 is 3/84740
Least Common Multiple of 380,4237 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 380,4237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,4237) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(380,4237) x common factors =19 x 1 = 19
LCM(380,4237) = ( 380 × 4237 ) / 19
LCM(380,4237) = 1610060 / 19
LCM(380,4237) = 84740
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FAQs on GCF of Fractions of 4368/380, 7131/4237
1. What is the HCF of 4368,7131?
The HCF of 4368,7131 is 3
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 4368/380, 7131/4237?
Answer: GCF of Numerators as per given numbers 4368/380, 7131/4237 is
GCF of Numerators i.e. for 4368,7131 is 3
LCM of denominators i.e. for 380,4237 is 84740.
Thus, GCF of Fractions is 3/84740.Finally, GCF of Fractions for 4368/380, 7131/4237 is 3/84740.