GCF of 2835/712, 7950/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2835/712, 7950/122 i.e 15/43432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2835/712, 7950/122.
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 2835/712,7950/122?
Given fractions are 2835/712,7950/122
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 2835/712,7950/122, numerators are 2835,7950
Denominators are 712,122
The GCF of 2835,7950 is 15 .
LCM of 712,122 is 43432.
The greatest common factor of 2835/712,7950/122 = [GCF of 2835,7950]/[LCM of 712,122]= 15/43432
Therefore, the GCF of 2835/712,7950/122 is 15/43432.
To find the highest common factor of 2835,7950, we have to find the factors of both numbers and list the highest common factor.
The factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835
The factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950
The HCF of 2835,7950 is 15.
Lets's calculate GCF of 2835,7950
| 3 | 2835, 7950 |
| 5 | 945, 2650 |
| 189, 530 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2835,7950 By Matching Biggest Common Factor Method
Now, list down the factors of 2835
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835
Now, list down the factors of 7950
:1,2,3,5,6,10,15,25,30,50,53,75,106,150,159,265,318,530,795,1325,1590,2650,3975,7950
Greatest Common Factor
We found the factors 2835,7950 . The biggest common factor number is the GCF number.
So the greatest common factor 2835,7950 is 15.
Lets's calculate LCM of 712,122
| 2 | 712, 122 |
| 356, 61 |
∴ So the LCM of the given numbers is 2 x 356 x 61 = 43432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/43432
Therefore, the GCF of Fractions 2835/712,7950/122 is 15/43432
Least Common Multiple of 712,122 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 712,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,122) x common factors =2 x 1 = 2
LCM(712,122) = ( 712 × 122 ) / 2
LCM(712,122) = 86864 / 2
LCM(712,122) = 43432
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FAQs on GCF of Fractions of 2835/712, 7950/122
1. What is the HCF of 2835,7950?
The HCF of 2835,7950 is 15
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 2835/712, 7950/122?
Answer: GCF of Numerators as per given numbers 2835/712, 7950/122 is
GCF of Numerators i.e. for 2835,7950 is 15
LCM of denominators i.e. for 712,122 is 43432.
Thus, GCF of Fractions is 15/43432.Finally, GCF of Fractions for 2835/712, 7950/122 is 15/43432.