GCF of 2372/624, 1764/7514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2372/624, 1764/7514 i.e 4/180336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2372/624, 1764/7514.
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 2372/624,1764/7514?
Given fractions are 2372/624,1764/7514
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 2372/624,1764/7514, numerators are 2372,1764
Denominators are 624,7514
The GCF of 2372,1764 is 4 .
LCM of 624,7514 is 180336.
The greatest common factor of 2372/624,1764/7514 = [GCF of 2372,1764]/[LCM of 624,7514]= 4/180336
Therefore, the GCF of 2372/624,1764/7514 is 4/180336.
To find the highest common factor of 2372,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 2372 are 1, 2, 4, 593, 1186, 2372
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 2372,1764 is 4.
Lets's calculate GCF of 2372,1764
| 2 | 2372, 1764 |
| 2 | 1186, 882 |
| 593, 441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2372,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 2372
:1,2,4,593,1186,2372
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 2372,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 2372,1764 is 4.
Lets's calculate LCM of 624,7514
| 2 | 624, 7514 |
| 13 | 312, 3757 |
| 24, 289 |
∴ So the LCM of the given numbers is 2 x 13 x 24 x 289 = 180336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/180336
Therefore, the GCF of Fractions 2372/624,1764/7514 is 4/180336
Least Common Multiple of 624,7514 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 624,7514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,7514) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(624,7514) x common factors =26 x 1 = 26
LCM(624,7514) = ( 624 × 7514 ) / 26
LCM(624,7514) = 4688736 / 26
LCM(624,7514) = 180336
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FAQs on GCF of Fractions of 2372/624, 1764/7514
1. What is the HCF of 2372,1764?
The HCF of 2372,1764 is 4
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 2372/624, 1764/7514?
Answer: GCF of Numerators as per given numbers 2372/624, 1764/7514 is
GCF of Numerators i.e. for 2372,1764 is 4
LCM of denominators i.e. for 624,7514 is 180336.
Thus, GCF of Fractions is 4/180336.Finally, GCF of Fractions for 2372/624, 1764/7514 is 4/180336.