GCF of 7276/165, 7395/4200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7276/165, 7395/4200 i.e 17/46200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7276/165, 7395/4200.
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 7276/165,7395/4200?
Given fractions are 7276/165,7395/4200
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 7276/165,7395/4200, numerators are 7276,7395
Denominators are 165,4200
The GCF of 7276,7395 is 17 .
LCM of 165,4200 is 46200.
The greatest common factor of 7276/165,7395/4200 = [GCF of 7276,7395]/[LCM of 165,4200]= 17/46200
Therefore, the GCF of 7276/165,7395/4200 is 17/46200.
To find the highest common factor of 7276,7395, we have to find the factors of both numbers and list the highest common factor.
The factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276
The factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395
The HCF of 7276,7395 is 17.
Lets's calculate GCF of 7276,7395
| 17 | 7276, 7395 |
| 428, 435 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 7276,7395 By Matching Biggest Common Factor Method
Now, list down the factors of 7276
:1,2,4,17,34,68,107,214,428,1819,3638,7276
Now, list down the factors of 7395
:1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395
Greatest Common Factor
We found the factors 7276,7395 . The biggest common factor number is the GCF number.
So the greatest common factor 7276,7395 is 17.
Lets's calculate LCM of 165,4200
| 3 | 165, 4200 |
| 5 | 55, 1400 |
| 11, 280 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 280 = 46200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/46200
Therefore, the GCF of Fractions 7276/165,7395/4200 is 17/46200
Least Common Multiple of 165,4200 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 165,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,4200) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(165,4200) x common factors =15 x 1 = 15
LCM(165,4200) = ( 165 × 4200 ) / 15
LCM(165,4200) = 693000 / 15
LCM(165,4200) = 46200
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FAQs on GCF of Fractions of 7276/165, 7395/4200
1. What is the HCF of 7276,7395?
The HCF of 7276,7395 is 17
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 7276/165, 7395/4200?
Answer: GCF of Numerators as per given numbers 7276/165, 7395/4200 is
GCF of Numerators i.e. for 7276,7395 is 17
LCM of denominators i.e. for 165,4200 is 46200.
Thus, GCF of Fractions is 17/46200.Finally, GCF of Fractions for 7276/165, 7395/4200 is 17/46200.