GCF of 7650/942, 3275/2943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7650/942, 3275/2943 i.e 25/924102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7650/942, 3275/2943.
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 7650/942,3275/2943?
Given fractions are 7650/942,3275/2943
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 7650/942,3275/2943, numerators are 7650,3275
Denominators are 942,2943
The GCF of 7650,3275 is 25 .
LCM of 942,2943 is 924102.
The greatest common factor of 7650/942,3275/2943 = [GCF of 7650,3275]/[LCM of 942,2943]= 25/924102
Therefore, the GCF of 7650/942,3275/2943 is 25/924102.
To find the highest common factor of 7650,3275, 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 3275 are 1, 5, 25, 131, 655, 3275
The HCF of 7650,3275 is 25.
Lets's calculate GCF of 7650,3275
| 5 | 7650, 3275 |
| 5 | 1530, 655 |
| 306, 131 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7650,3275 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 3275
:1,5,25,131,655,3275
Greatest Common Factor
We found the factors 7650,3275 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,3275 is 25.
Lets's calculate LCM of 942,2943
| 3 | 942, 2943 |
| 314, 981 |
∴ So the LCM of the given numbers is 3 x 314 x 981 = 924102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/924102
Therefore, the GCF of Fractions 7650/942,3275/2943 is 25/924102
Least Common Multiple of 942,2943 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 942,2943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,2943) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(942,2943) x common factors =3 x 1 = 3
LCM(942,2943) = ( 942 × 2943 ) / 3
LCM(942,2943) = 2772306 / 3
LCM(942,2943) = 924102
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FAQs on GCF of Fractions of 7650/942, 3275/2943
1. What is the HCF of 7650,3275?
The HCF of 7650,3275 is 25
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 7650/942, 3275/2943?
Answer: GCF of Numerators as per given numbers 7650/942, 3275/2943 is
GCF of Numerators i.e. for 7650,3275 is 25
LCM of denominators i.e. for 942,2943 is 924102.
Thus, GCF of Fractions is 25/924102.Finally, GCF of Fractions for 7650/942, 3275/2943 is 25/924102.