GCF of 880/40, 920/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/40, 920/396 i.e 40/3960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/40, 920/396.
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 880/40,920/396?
Given fractions are 880/40,920/396
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 880/40,920/396, numerators are 880,920
Denominators are 40,396
The GCF of 880,920 is 40 .
LCM of 40,396 is 3960.
The greatest common factor of 880/40,920/396 = [GCF of 880,920]/[LCM of 40,396]= 40/3960
Therefore, the GCF of 880/40,920/396 is 40/3960.
To find the highest common factor of 880,920, 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 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 880,920 is 40.
Lets's calculate GCF of 880,920
| 2 | 880, 920 |
| 2 | 440, 460 |
| 2 | 220, 230 |
| 5 | 110, 115 |
| 22, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 880,920 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 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 880,920 . The biggest common factor number is the GCF number.
So the greatest common factor 880,920 is 40.
Lets's calculate LCM of 40,396
| 2 | 40, 396 |
| 2 | 20, 198 |
| 10, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 99 = 3960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/3960
Therefore, the GCF of Fractions 880/40,920/396 is 40/3960
Least Common Multiple of 40,396 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 40,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(40,396) x common factors =4 x 1 = 4
LCM(40,396) = ( 40 × 396 ) / 4
LCM(40,396) = 15840 / 4
LCM(40,396) = 3960
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FAQs on GCF of Fractions of 880/40, 920/396
1. What is the HCF of 880,920?
The HCF of 880,920 is 40
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 880/40, 920/396?
Answer: GCF of Numerators as per given numbers 880/40, 920/396 is
GCF of Numerators i.e. for 880,920 is 40
LCM of denominators i.e. for 40,396 is 3960.
Thus, GCF of Fractions is 40/3960.Finally, GCF of Fractions for 880/40, 920/396 is 40/3960.