GCF of 342/651, 7848/945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 342/651, 7848/945 i.e 18/29295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/651, 7848/945.
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 342/651,7848/945?
Given fractions are 342/651,7848/945
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 342/651,7848/945, numerators are 342,7848
Denominators are 651,945
The GCF of 342,7848 is 18 .
LCM of 651,945 is 29295.
The greatest common factor of 342/651,7848/945 = [GCF of 342,7848]/[LCM of 651,945]= 18/29295
Therefore, the GCF of 342/651,7848/945 is 18/29295.
To find the highest common factor of 342,7848, we have to find the factors of both numbers and list the highest common factor.
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848
The HCF of 342,7848 is 18.
Lets's calculate GCF of 342,7848
| 2 | 342, 7848 |
| 3 | 171, 3924 |
| 3 | 57, 1308 |
| 19, 436 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 342,7848 By Matching Biggest Common Factor Method
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 7848
:1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Greatest Common Factor
We found the factors 342,7848 . The biggest common factor number is the GCF number.
So the greatest common factor 342,7848 is 18.
Lets's calculate LCM of 651,945
| 3 | 651, 945 |
| 7 | 217, 315 |
| 31, 45 |
∴ So the LCM of the given numbers is 3 x 7 x 31 x 45 = 29295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/29295
Therefore, the GCF of Fractions 342/651,7848/945 is 18/29295
Least Common Multiple of 651,945 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 651,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,945) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(651,945) x common factors =21 x 1 = 21
LCM(651,945) = ( 651 × 945 ) / 21
LCM(651,945) = 615195 / 21
LCM(651,945) = 29295
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FAQs on GCF of Fractions of 342/651, 7848/945
1. What is the HCF of 342,7848?
The HCF of 342,7848 is 18
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 342/651, 7848/945?
Answer: GCF of Numerators as per given numbers 342/651, 7848/945 is
GCF of Numerators i.e. for 342,7848 is 18
LCM of denominators i.e. for 651,945 is 29295.
Thus, GCF of Fractions is 18/29295.Finally, GCF of Fractions for 342/651, 7848/945 is 18/29295.