GCF of 7762/305, 4232/3120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7762/305, 4232/3120 i.e 2/190320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7762/305, 4232/3120.
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 7762/305,4232/3120?
Given fractions are 7762/305,4232/3120
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 7762/305,4232/3120, numerators are 7762,4232
Denominators are 305,3120
The GCF of 7762,4232 is 2 .
LCM of 305,3120 is 190320.
The greatest common factor of 7762/305,4232/3120 = [GCF of 7762,4232]/[LCM of 305,3120]= 2/190320
Therefore, the GCF of 7762/305,4232/3120 is 2/190320.
To find the highest common factor of 7762,4232, we have to find the factors of both numbers and list the highest common factor.
The factors of 7762 are 1, 2, 3881, 7762
The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232
The HCF of 7762,4232 is 2.
Lets's calculate GCF of 7762,4232
| 2 | 7762, 4232 |
| 3881, 2116 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7762,4232 By Matching Biggest Common Factor Method
Now, list down the factors of 7762
:1,2,3881,7762
Now, list down the factors of 4232
:1,2,4,8,23,46,92,184,529,1058,2116,4232
Greatest Common Factor
We found the factors 7762,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 7762,4232 is 2.
Lets's calculate LCM of 305,3120
| 5 | 305, 3120 |
| 61, 624 |
∴ So the LCM of the given numbers is 5 x 61 x 624 = 190320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190320
Therefore, the GCF of Fractions 7762/305,4232/3120 is 2/190320
Least Common Multiple of 305,3120 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 305,3120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,3120) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,3120) x common factors =5 x 1 = 5
LCM(305,3120) = ( 305 × 3120 ) / 5
LCM(305,3120) = 951600 / 5
LCM(305,3120) = 190320
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FAQs on GCF of Fractions of 7762/305, 4232/3120
1. What is the HCF of 7762,4232?
The HCF of 7762,4232 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 7762/305, 4232/3120?
Answer: GCF of Numerators as per given numbers 7762/305, 4232/3120 is
GCF of Numerators i.e. for 7762,4232 is 2
LCM of denominators i.e. for 305,3120 is 190320.
Thus, GCF of Fractions is 2/190320.Finally, GCF of Fractions for 7762/305, 4232/3120 is 2/190320.