GCF of 3150/429, 7836/8361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3150/429, 7836/8361 i.e 6/1195623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3150/429, 7836/8361.
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 3150/429,7836/8361?
Given fractions are 3150/429,7836/8361
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 3150/429,7836/8361, numerators are 3150,7836
Denominators are 429,8361
The GCF of 3150,7836 is 6 .
LCM of 429,8361 is 1195623.
The greatest common factor of 3150/429,7836/8361 = [GCF of 3150,7836]/[LCM of 429,8361]= 6/1195623
Therefore, the GCF of 3150/429,7836/8361 is 6/1195623.
To find the highest common factor of 3150,7836, we have to find the factors of both numbers and list the highest common factor.
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The HCF of 3150,7836 is 6.
Lets's calculate GCF of 3150,7836
| 2 | 3150, 7836 |
| 3 | 1575, 3918 |
| 525, 1306 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3150,7836 By Matching Biggest Common Factor Method
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Greatest Common Factor
We found the factors 3150,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 3150,7836 is 6.
Lets's calculate LCM of 429,8361
| 3 | 429, 8361 |
| 143, 2787 |
∴ So the LCM of the given numbers is 3 x 143 x 2787 = 1195623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1195623
Therefore, the GCF of Fractions 3150/429,7836/8361 is 6/1195623
Least Common Multiple of 429,8361 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 429,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,8361) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,8361) x common factors =3 x 1 = 3
LCM(429,8361) = ( 429 × 8361 ) / 3
LCM(429,8361) = 3586869 / 3
LCM(429,8361) = 1195623
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FAQs on GCF of Fractions of 3150/429, 7836/8361
1. What is the HCF of 3150,7836?
The HCF of 3150,7836 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 3150/429, 7836/8361?
Answer: GCF of Numerators as per given numbers 3150/429, 7836/8361 is
GCF of Numerators i.e. for 3150,7836 is 6
LCM of denominators i.e. for 429,8361 is 1195623.
Thus, GCF of Fractions is 6/1195623.Finally, GCF of Fractions for 3150/429, 7836/8361 is 6/1195623.