GCF of 7848/834, 6468/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7848/834, 6468/748 i.e 12/311916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7848/834, 6468/748.
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 7848/834,6468/748?
Given fractions are 7848/834,6468/748
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 7848/834,6468/748, numerators are 7848,6468
Denominators are 834,748
The GCF of 7848,6468 is 12 .
LCM of 834,748 is 311916.
The greatest common factor of 7848/834,6468/748 = [GCF of 7848,6468]/[LCM of 834,748]= 12/311916
Therefore, the GCF of 7848/834,6468/748 is 12/311916.
To find the highest common factor of 7848,6468, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6468 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234, 6468
The HCF of 7848,6468 is 12.
Lets's calculate GCF of 7848,6468
| 2 | 7848, 6468 |
| 2 | 3924, 3234 |
| 3 | 1962, 1617 |
| 654, 539 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7848,6468 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6468
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468
Greatest Common Factor
We found the factors 7848,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 7848,6468 is 12.
Lets's calculate LCM of 834,748
| 2 | 834, 748 |
| 417, 374 |
∴ So the LCM of the given numbers is 2 x 417 x 374 = 311916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/311916
Therefore, the GCF of Fractions 7848/834,6468/748 is 12/311916
Least Common Multiple of 834,748 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 834,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,748) x common factors =2 x 1 = 2
LCM(834,748) = ( 834 × 748 ) / 2
LCM(834,748) = 623832 / 2
LCM(834,748) = 311916
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FAQs on GCF of Fractions of 7848/834, 6468/748
1. What is the HCF of 7848,6468?
The HCF of 7848,6468 is 12
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 7848/834, 6468/748?
Answer: GCF of Numerators as per given numbers 7848/834, 6468/748 is
GCF of Numerators i.e. for 7848,6468 is 12
LCM of denominators i.e. for 834,748 is 311916.
Thus, GCF of Fractions is 12/311916.Finally, GCF of Fractions for 7848/834, 6468/748 is 12/311916.