GCF of 6075/308, 6396/7254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6075/308, 6396/7254 i.e 3/1117116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6075/308, 6396/7254.
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 6075/308,6396/7254?
Given fractions are 6075/308,6396/7254
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 6075/308,6396/7254, numerators are 6075,6396
Denominators are 308,7254
The GCF of 6075,6396 is 3 .
LCM of 308,7254 is 1117116.
The greatest common factor of 6075/308,6396/7254 = [GCF of 6075,6396]/[LCM of 308,7254]= 3/1117116
Therefore, the GCF of 6075/308,6396/7254 is 3/1117116.
To find the highest common factor of 6075,6396, we have to find the factors of both numbers and list the highest common factor.
The factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075
The factors of 6396 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396
The HCF of 6075,6396 is 3.
Lets's calculate GCF of 6075,6396
| 3 | 6075, 6396 |
| 2025, 2132 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6075,6396 By Matching Biggest Common Factor Method
Now, list down the factors of 6075
:1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075
Now, list down the factors of 6396
:1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396
Greatest Common Factor
We found the factors 6075,6396 . The biggest common factor number is the GCF number.
So the greatest common factor 6075,6396 is 3.
Lets's calculate LCM of 308,7254
| 2 | 308, 7254 |
| 154, 3627 |
∴ So the LCM of the given numbers is 2 x 154 x 3627 = 1117116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1117116
Therefore, the GCF of Fractions 6075/308,6396/7254 is 3/1117116
Least Common Multiple of 308,7254 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 308,7254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,7254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(308,7254) x common factors =2 x 1 = 2
LCM(308,7254) = ( 308 × 7254 ) / 2
LCM(308,7254) = 2234232 / 2
LCM(308,7254) = 1117116
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6075/308, 6396/7254
1. What is the HCF of 6075,6396?
The HCF of 6075,6396 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 6075/308, 6396/7254?
Answer: GCF of Numerators as per given numbers 6075/308, 6396/7254 is
GCF of Numerators i.e. for 6075,6396 is 3
LCM of denominators i.e. for 308,7254 is 1117116.
Thus, GCF of Fractions is 3/1117116.Finally, GCF of Fractions for 6075/308, 6396/7254 is 3/1117116.