GCF of 880/32, 990/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/32, 990/724 i.e 110/5792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/32, 990/724.
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 880/32,990/724?
Given fractions are 880/32,990/724
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 880/32,990/724, numerators are 880,990
Denominators are 32,724
The GCF of 880,990 is 110 .
LCM of 32,724 is 5792.
The greatest common factor of 880/32,990/724 = [GCF of 880,990]/[LCM of 32,724]= 110/5792
Therefore, the GCF of 880/32,990/724 is 110/5792.
To find the highest common factor of 880,990, we have to find the factors of both numbers and list the highest common factor.
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The HCF of 880,990 is 110.
Lets's calculate GCF of 880,990
| 2 | 880, 990 |
| 5 | 440, 495 |
| 11 | 88, 99 |
| 8, 9 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Greatest Common Factor of 880,990 By Matching Biggest Common Factor Method
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 880,990 . The biggest common factor number is the GCF number.
So the greatest common factor 880,990 is 110.
Lets's calculate LCM of 32,724
| 2 | 32, 724 |
| 2 | 16, 362 |
| 8, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 181 = 5792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/5792
Therefore, the GCF of Fractions 880/32,990/724 is 110/5792
Least Common Multiple of 32,724 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 32,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(32,724) x common factors =4 x 1 = 4
LCM(32,724) = ( 32 × 724 ) / 4
LCM(32,724) = 23168 / 4
LCM(32,724) = 5792
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FAQs on GCF of Fractions of 880/32, 990/724
1. What is the HCF of 880,990?
The HCF of 880,990 is 110
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 880/32, 990/724?
Answer: GCF of Numerators as per given numbers 880/32, 990/724 is
GCF of Numerators i.e. for 880,990 is 110
LCM of denominators i.e. for 32,724 is 5792.
Thus, GCF of Fractions is 110/5792.Finally, GCF of Fractions for 880/32, 990/724 is 110/5792.