GCF of 7990/872, 2800/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7990/872, 2800/672 i.e 10/73248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7990/872, 2800/672.
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 7990/872,2800/672?
Given fractions are 7990/872,2800/672
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 7990/872,2800/672, numerators are 7990,2800
Denominators are 872,672
The GCF of 7990,2800 is 10 .
LCM of 872,672 is 73248.
The greatest common factor of 7990/872,2800/672 = [GCF of 7990,2800]/[LCM of 872,672]= 10/73248
Therefore, the GCF of 7990/872,2800/672 is 10/73248.
To find the highest common factor of 7990,2800, we have to find the factors of both numbers and list the highest common factor.
The factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990
The factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800
The HCF of 7990,2800 is 10.
Lets's calculate GCF of 7990,2800
| 2 | 7990, 2800 |
| 5 | 3995, 1400 |
| 799, 280 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7990,2800 By Matching Biggest Common Factor Method
Now, list down the factors of 7990
:1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990
Now, list down the factors of 2800
:1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800
Greatest Common Factor
We found the factors 7990,2800 . The biggest common factor number is the GCF number.
So the greatest common factor 7990,2800 is 10.
Lets's calculate LCM of 872,672
| 2 | 872, 672 |
| 2 | 436, 336 |
| 2 | 218, 168 |
| 109, 84 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 84 = 73248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/73248
Therefore, the GCF of Fractions 7990/872,2800/672 is 10/73248
Least Common Multiple of 872,672 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 872,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,672) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,672) x common factors =8 x 1 = 8
LCM(872,672) = ( 872 × 672 ) / 8
LCM(872,672) = 585984 / 8
LCM(872,672) = 73248
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FAQs on GCF of Fractions of 7990/872, 2800/672
1. What is the HCF of 7990,2800?
The HCF of 7990,2800 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 7990/872, 2800/672?
Answer: GCF of Numerators as per given numbers 7990/872, 2800/672 is
GCF of Numerators i.e. for 7990,2800 is 10
LCM of denominators i.e. for 872,672 is 73248.
Thus, GCF of Fractions is 10/73248.Finally, GCF of Fractions for 7990/872, 2800/672 is 10/73248.