GCF of 2870/633, 7410/3123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2870/633, 7410/3123 i.e 10/658953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2870/633, 7410/3123.
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 2870/633,7410/3123?
Given fractions are 2870/633,7410/3123
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 2870/633,7410/3123, numerators are 2870,7410
Denominators are 633,3123
The GCF of 2870,7410 is 10 .
LCM of 633,3123 is 658953.
The greatest common factor of 2870/633,7410/3123 = [GCF of 2870,7410]/[LCM of 633,3123]= 10/658953
Therefore, the GCF of 2870/633,7410/3123 is 10/658953.
To find the highest common factor of 2870,7410, we have to find the factors of both numbers and list the highest common factor.
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410
The HCF of 2870,7410 is 10.
Lets's calculate GCF of 2870,7410
| 2 | 2870, 7410 |
| 5 | 1435, 3705 |
| 287, 741 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2870,7410 By Matching Biggest Common Factor Method
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Now, list down the factors of 7410
:1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 2870,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 2870,7410 is 10.
Lets's calculate LCM of 633,3123
| 3 | 633, 3123 |
| 211, 1041 |
∴ So the LCM of the given numbers is 3 x 211 x 1041 = 658953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/658953
Therefore, the GCF of Fractions 2870/633,7410/3123 is 10/658953
Least Common Multiple of 633,3123 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 633,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,3123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,3123) x common factors =3 x 1 = 3
LCM(633,3123) = ( 633 × 3123 ) / 3
LCM(633,3123) = 1976859 / 3
LCM(633,3123) = 658953
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FAQs on GCF of Fractions of 2870/633, 7410/3123
1. What is the HCF of 2870,7410?
The HCF of 2870,7410 is 10
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 2870/633, 7410/3123?
Answer: GCF of Numerators as per given numbers 2870/633, 7410/3123 is
GCF of Numerators i.e. for 2870,7410 is 10
LCM of denominators i.e. for 633,3123 is 658953.
Thus, GCF of Fractions is 10/658953.Finally, GCF of Fractions for 2870/633, 7410/3123 is 10/658953.