GCF of 2120/880, 7022/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2120/880, 7022/130 i.e 2/11440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2120/880, 7022/130.
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 2120/880,7022/130?
Given fractions are 2120/880,7022/130
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 2120/880,7022/130, numerators are 2120,7022
Denominators are 880,130
The GCF of 2120,7022 is 2 .
LCM of 880,130 is 11440.
The greatest common factor of 2120/880,7022/130 = [GCF of 2120,7022]/[LCM of 880,130]= 2/11440
Therefore, the GCF of 2120/880,7022/130 is 2/11440.
To find the highest common factor of 2120,7022, we have to find the factors of both numbers and list the highest common factor.
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The factors of 7022 are 1, 2, 3511, 7022
The HCF of 2120,7022 is 2.
Lets's calculate GCF of 2120,7022
| 2 | 2120, 7022 |
| 1060, 3511 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2120,7022 By Matching Biggest Common Factor Method
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Now, list down the factors of 7022
:1,2,3511,7022
Greatest Common Factor
We found the factors 2120,7022 . The biggest common factor number is the GCF number.
So the greatest common factor 2120,7022 is 2.
Lets's calculate LCM of 880,130
| 2 | 880, 130 |
| 5 | 440, 65 |
| 88, 13 |
∴ So the LCM of the given numbers is 2 x 5 x 88 x 13 = 11440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11440
Therefore, the GCF of Fractions 2120/880,7022/130 is 2/11440
Least Common Multiple of 880,130 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 880,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,130) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(880,130) x common factors =10 x 1 = 10
LCM(880,130) = ( 880 × 130 ) / 10
LCM(880,130) = 114400 / 10
LCM(880,130) = 11440
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FAQs on GCF of Fractions of 2120/880, 7022/130
1. What is the HCF of 2120,7022?
The HCF of 2120,7022 is 2
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 2120/880, 7022/130?
Answer: GCF of Numerators as per given numbers 2120/880, 7022/130 is
GCF of Numerators i.e. for 2120,7022 is 2
LCM of denominators i.e. for 880,130 is 11440.
Thus, GCF of Fractions is 2/11440.Finally, GCF of Fractions for 2120/880, 7022/130 is 2/11440.