GCF of 2832/960, 1970/3520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2832/960, 1970/3520 i.e 2/10560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2832/960, 1970/3520.
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 2832/960,1970/3520?
Given fractions are 2832/960,1970/3520
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 2832/960,1970/3520, numerators are 2832,1970
Denominators are 960,3520
The GCF of 2832,1970 is 2 .
LCM of 960,3520 is 10560.
The greatest common factor of 2832/960,1970/3520 = [GCF of 2832,1970]/[LCM of 960,3520]= 2/10560
Therefore, the GCF of 2832/960,1970/3520 is 2/10560.
To find the highest common factor of 2832,1970, we have to find the factors of both numbers and list the highest common factor.
The factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832
The factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970
The HCF of 2832,1970 is 2.
Lets's calculate GCF of 2832,1970
| 2 | 2832, 1970 |
| 1416, 985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2832,1970 By Matching Biggest Common Factor Method
Now, list down the factors of 2832
:1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Now, list down the factors of 1970
:1,2,5,10,197,394,985,1970
Greatest Common Factor
We found the factors 2832,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 2832,1970 is 2.
Lets's calculate LCM of 960,3520
| 2 | 960, 3520 |
| 2 | 480, 1760 |
| 2 | 240, 880 |
| 2 | 120, 440 |
| 2 | 60, 220 |
| 2 | 30, 110 |
| 5 | 15, 55 |
| 3, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 11 = 10560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10560
Therefore, the GCF of Fractions 2832/960,1970/3520 is 2/10560
Least Common Multiple of 960,3520 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 960,3520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,3520) = 320
common factors(in case of two or more numbers have common factors) = 1
GCF(960,3520) x common factors =320 x 1 = 320
LCM(960,3520) = ( 960 × 3520 ) / 320
LCM(960,3520) = 3379200 / 320
LCM(960,3520) = 10560
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FAQs on GCF of Fractions of 2832/960, 1970/3520
1. What is the HCF of 2832,1970?
The HCF of 2832,1970 is 2
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 2832/960, 1970/3520?
Answer: GCF of Numerators as per given numbers 2832/960, 1970/3520 is
GCF of Numerators i.e. for 2832,1970 is 2
LCM of denominators i.e. for 960,3520 is 10560.
Thus, GCF of Fractions is 2/10560.Finally, GCF of Fractions for 2832/960, 1970/3520 is 2/10560.