GCF of 1374/999, 4185/6354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1374/999, 4185/6354 i.e 3/705294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1374/999, 4185/6354.
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 1374/999,4185/6354?
Given fractions are 1374/999,4185/6354
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 1374/999,4185/6354, numerators are 1374,4185
Denominators are 999,6354
The GCF of 1374,4185 is 3 .
LCM of 999,6354 is 705294.
The greatest common factor of 1374/999,4185/6354 = [GCF of 1374,4185]/[LCM of 999,6354]= 3/705294
Therefore, the GCF of 1374/999,4185/6354 is 3/705294.
To find the highest common factor of 1374,4185, we have to find the factors of both numbers and list the highest common factor.
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374
The factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185
The HCF of 1374,4185 is 3.
Lets's calculate GCF of 1374,4185
| 3 | 1374, 4185 |
| 458, 1395 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1374,4185 By Matching Biggest Common Factor Method
Now, list down the factors of 1374
:1,2,3,6,229,458,687,1374
Now, list down the factors of 4185
:1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185
Greatest Common Factor
We found the factors 1374,4185 . The biggest common factor number is the GCF number.
So the greatest common factor 1374,4185 is 3.
Lets's calculate LCM of 999,6354
| 3 | 999, 6354 |
| 3 | 333, 2118 |
| 111, 706 |
∴ So the LCM of the given numbers is 3 x 3 x 111 x 706 = 705294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/705294
Therefore, the GCF of Fractions 1374/999,4185/6354 is 3/705294
Least Common Multiple of 999,6354 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 999,6354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,6354) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(999,6354) x common factors =9 x 1 = 9
LCM(999,6354) = ( 999 × 6354 ) / 9
LCM(999,6354) = 6347646 / 9
LCM(999,6354) = 705294
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FAQs on GCF of Fractions of 1374/999, 4185/6354
1. What is the HCF of 1374,4185?
The HCF of 1374,4185 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 1374/999, 4185/6354?
Answer: GCF of Numerators as per given numbers 1374/999, 4185/6354 is
GCF of Numerators i.e. for 1374,4185 is 3
LCM of denominators i.e. for 999,6354 is 705294.
Thus, GCF of Fractions is 3/705294.Finally, GCF of Fractions for 1374/999, 4185/6354 is 3/705294.