GCF of 880/89, 630/801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/89, 630/801 i.e 10/801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/89, 630/801.
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 880/89,630/801?
Given fractions are 880/89,630/801
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 880/89,630/801, numerators are 880,630
Denominators are 89,801
The GCF of 880,630 is 10 .
LCM of 89,801 is 801.
The greatest common factor of 880/89,630/801 = [GCF of 880,630]/[LCM of 89,801]= 10/801
Therefore, the GCF of 880/89,630/801 is 10/801.
To find the highest common factor of 880,630, 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 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 880,630 is 10.
Lets's calculate GCF of 880,630
| 2 | 880, 630 |
| 5 | 440, 315 |
| 88, 63 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 880,630 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 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 880,630 . The biggest common factor number is the GCF number.
So the greatest common factor 880,630 is 10.
Lets's calculate LCM of 89,801
| 89 | 89, 801 |
| 1, 9 |
∴ So the LCM of the given numbers is 89 x 1 x 9 = 801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/801
Therefore, the GCF of Fractions 880/89,630/801 is 10/801
Least Common Multiple of 89,801 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 89,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,801) = 89
common factors(in case of two or more numbers have common factors) = 1
GCF(89,801) x common factors =89 x 1 = 89
LCM(89,801) = ( 89 × 801 ) / 89
LCM(89,801) = 71289 / 89
LCM(89,801) = 801
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FAQs on GCF of Fractions of 880/89, 630/801
1. What is the HCF of 880,630?
The HCF of 880,630 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 880/89, 630/801?
Answer: GCF of Numerators as per given numbers 880/89, 630/801 is
GCF of Numerators i.e. for 880,630 is 10
LCM of denominators i.e. for 89,801 is 801.
Thus, GCF of Fractions is 10/801.Finally, GCF of Fractions for 880/89, 630/801 is 10/801.