GCF of 880/101, 2420/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 880/101, 2420/101 i.e 220/101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/101, 2420/101.
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 880/101,2420/101?
Given fractions are 880/101,2420/101
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 880/101,2420/101, numerators are 880,2420
Denominators are 101,101
The GCF of 880,2420 is 220 .
LCM of 101,101 is 101.
The greatest common factor of 880/101,2420/101 = [GCF of 880,2420]/[LCM of 101,101]= 220/101
Therefore, the GCF of 880/101,2420/101 is 220/101.
To find the highest common factor of 880,2420, 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 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420
The HCF of 880,2420 is 220.
Lets's calculate GCF of 880,2420
| 2 | 880, 2420 |
| 2 | 440, 1210 |
| 5 | 220, 605 |
| 11 | 44, 121 |
| 4, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 11 = 220
Greatest Common Factor of 880,2420 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 2420
:1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420
Greatest Common Factor
We found the factors 880,2420 . The biggest common factor number is the GCF number.
So the greatest common factor 880,2420 is 220.
Lets's calculate LCM of 101,101
| 101 | 101, 101 |
| 1, 1 |
∴ So the LCM of the given numbers is 101 x 1 x 1 = 101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 220/101
Therefore, the GCF of Fractions 880/101,2420/101 is 220/101
Least Common Multiple of 101,101 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 101,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,101) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(101,101) x common factors =101 x 1 = 101
LCM(101,101) = ( 101 × 101 ) / 101
LCM(101,101) = 10201 / 101
LCM(101,101) = 101
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FAQs on GCF of Fractions of 880/101, 2420/101
1. What is the HCF of 880,2420?
The HCF of 880,2420 is 220
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 880/101, 2420/101?
Answer: GCF of Numerators as per given numbers 880/101, 2420/101 is
GCF of Numerators i.e. for 880,2420 is 220
LCM of denominators i.e. for 101,101 is 101.
Thus, GCF of Fractions is 220/101.Finally, GCF of Fractions for 880/101, 2420/101 is 220/101.