GCF of 7652/200, 2120/9335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7652/200, 2120/9335 i.e 4/373400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7652/200, 2120/9335.
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 7652/200,2120/9335?
Given fractions are 7652/200,2120/9335
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 7652/200,2120/9335, numerators are 7652,2120
Denominators are 200,9335
The GCF of 7652,2120 is 4 .
LCM of 200,9335 is 373400.
The greatest common factor of 7652/200,2120/9335 = [GCF of 7652,2120]/[LCM of 200,9335]= 4/373400
Therefore, the GCF of 7652/200,2120/9335 is 4/373400.
To find the highest common factor of 7652,2120, we have to find the factors of both numbers and list the highest common factor.
The factors of 7652 are 1, 2, 4, 1913, 3826, 7652
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The HCF of 7652,2120 is 4.
Lets's calculate GCF of 7652,2120
| 2 | 7652, 2120 |
| 2 | 3826, 1060 |
| 1913, 530 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7652,2120 By Matching Biggest Common Factor Method
Now, list down the factors of 7652
:1,2,4,1913,3826,7652
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Greatest Common Factor
We found the factors 7652,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,2120 is 4.
Lets's calculate LCM of 200,9335
| 5 | 200, 9335 |
| 40, 1867 |
∴ So the LCM of the given numbers is 5 x 40 x 1867 = 373400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/373400
Therefore, the GCF of Fractions 7652/200,2120/9335 is 4/373400
Least Common Multiple of 200,9335 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 200,9335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,9335) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(200,9335) x common factors =5 x 1 = 5
LCM(200,9335) = ( 200 × 9335 ) / 5
LCM(200,9335) = 1867000 / 5
LCM(200,9335) = 373400
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FAQs on GCF of Fractions of 7652/200, 2120/9335
1. What is the HCF of 7652,2120?
The HCF of 7652,2120 is 4
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 7652/200, 2120/9335?
Answer: GCF of Numerators as per given numbers 7652/200, 2120/9335 is
GCF of Numerators i.e. for 7652,2120 is 4
LCM of denominators i.e. for 200,9335 is 373400.
Thus, GCF of Fractions is 4/373400.Finally, GCF of Fractions for 7652/200, 2120/9335 is 4/373400.