GCF of 7863/634, 6273/4654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7863/634, 6273/4654 i.e 3/1475318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7863/634, 6273/4654.
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 7863/634,6273/4654?
Given fractions are 7863/634,6273/4654
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 7863/634,6273/4654, numerators are 7863,6273
Denominators are 634,4654
The GCF of 7863,6273 is 3 .
LCM of 634,4654 is 1475318.
The greatest common factor of 7863/634,6273/4654 = [GCF of 7863,6273]/[LCM of 634,4654]= 3/1475318
Therefore, the GCF of 7863/634,6273/4654 is 3/1475318.
To find the highest common factor of 7863,6273, we have to find the factors of both numbers and list the highest common factor.
The factors of 7863 are 1, 3, 2621, 7863
The factors of 6273 are 1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273
The HCF of 7863,6273 is 3.
Lets's calculate GCF of 7863,6273
| 3 | 7863, 6273 |
| 2621, 2091 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7863,6273 By Matching Biggest Common Factor Method
Now, list down the factors of 7863
:1,3,2621,7863
Now, list down the factors of 6273
:1,3,9,17,41,51,123,153,369,697,2091,6273
Greatest Common Factor
We found the factors 7863,6273 . The biggest common factor number is the GCF number.
So the greatest common factor 7863,6273 is 3.
Lets's calculate LCM of 634,4654
| 2 | 634, 4654 |
| 317, 2327 |
∴ So the LCM of the given numbers is 2 x 317 x 2327 = 1475318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1475318
Therefore, the GCF of Fractions 7863/634,6273/4654 is 3/1475318
Least Common Multiple of 634,4654 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 634,4654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,4654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,4654) x common factors =2 x 1 = 2
LCM(634,4654) = ( 634 × 4654 ) / 2
LCM(634,4654) = 2950636 / 2
LCM(634,4654) = 1475318
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FAQs on GCF of Fractions of 7863/634, 6273/4654
1. What is the HCF of 7863,6273?
The HCF of 7863,6273 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 7863/634, 6273/4654?
Answer: GCF of Numerators as per given numbers 7863/634, 6273/4654 is
GCF of Numerators i.e. for 7863,6273 is 3
LCM of denominators i.e. for 634,4654 is 1475318.
Thus, GCF of Fractions is 3/1475318.Finally, GCF of Fractions for 7863/634, 6273/4654 is 3/1475318.