GCF of 7650/362, 9945/4127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7650/362, 9945/4127 i.e 765/1493974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7650/362, 9945/4127.
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 7650/362,9945/4127?
Given fractions are 7650/362,9945/4127
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 7650/362,9945/4127, numerators are 7650,9945
Denominators are 362,4127
The GCF of 7650,9945 is 765 .
LCM of 362,4127 is 1493974.
The greatest common factor of 7650/362,9945/4127 = [GCF of 7650,9945]/[LCM of 362,4127]= 765/1493974
Therefore, the GCF of 7650/362,9945/4127 is 765/1493974.
To find the highest common factor of 7650,9945, we have to find the factors of both numbers and list the highest common factor.
The factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945
The HCF of 7650,9945 is 765.
Lets's calculate GCF of 7650,9945
| 3 | 7650, 9945 |
| 3 | 2550, 3315 |
| 5 | 850, 1105 |
| 17 | 170, 221 |
| 10, 13 |
∴ So the GCF of the given numbers is 3 x 3 x 5 x 17 = 765
Greatest Common Factor of 7650,9945 By Matching Biggest Common Factor Method
Now, list down the factors of 7650
:1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650
Now, list down the factors of 9945
:1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 7650,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,9945 is 765.
Lets's calculate LCM of 362,4127
Given numbers has no common factors except 1. So, there LCM is their product i.e 1493974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 765/1493974
Therefore, the GCF of Fractions 7650/362,9945/4127 is 765/1493974
Least Common Multiple of 362,4127 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 362,4127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,4127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,4127) x common factors =1 x 1 = 1
LCM(362,4127) = ( 362 × 4127 ) / 1
LCM(362,4127) = 1493974 / 1
LCM(362,4127) = 1493974
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FAQs on GCF of Fractions of 7650/362, 9945/4127
1. What is the HCF of 7650,9945?
The HCF of 7650,9945 is 765
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 7650/362, 9945/4127?
Answer: GCF of Numerators as per given numbers 7650/362, 9945/4127 is
GCF of Numerators i.e. for 7650,9945 is 765
LCM of denominators i.e. for 362,4127 is 1493974.
Thus, GCF of Fractions is 765/1493974.Finally, GCF of Fractions for 7650/362, 9945/4127 is 765/1493974.