GCF of 8305/652, 4832/7505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8305/652, 4832/7505 i.e 151/4893260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8305/652, 4832/7505.
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 8305/652,4832/7505?
Given fractions are 8305/652,4832/7505
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 8305/652,4832/7505, numerators are 8305,4832
Denominators are 652,7505
The GCF of 8305,4832 is 151 .
LCM of 652,7505 is 4893260.
The greatest common factor of 8305/652,4832/7505 = [GCF of 8305,4832]/[LCM of 652,7505]= 151/4893260
Therefore, the GCF of 8305/652,4832/7505 is 151/4893260.
To find the highest common factor of 8305,4832, we have to find the factors of both numbers and list the highest common factor.
The factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305
The factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832
The HCF of 8305,4832 is 151.
Lets's calculate GCF of 8305,4832
| 151 | 8305, 4832 |
| 55, 32 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 8305,4832 By Matching Biggest Common Factor Method
Now, list down the factors of 8305
:1,5,11,55,151,755,1661,8305
Now, list down the factors of 4832
:1,2,4,8,16,32,151,302,604,1208,2416,4832
Greatest Common Factor
We found the factors 8305,4832 . The biggest common factor number is the GCF number.
So the greatest common factor 8305,4832 is 151.
Lets's calculate LCM of 652,7505
Given numbers has no common factors except 1. So, there LCM is their product i.e 4893260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/4893260
Therefore, the GCF of Fractions 8305/652,4832/7505 is 151/4893260
Least Common Multiple of 652,7505 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 652,7505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,7505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,7505) x common factors =1 x 1 = 1
LCM(652,7505) = ( 652 × 7505 ) / 1
LCM(652,7505) = 4893260 / 1
LCM(652,7505) = 4893260
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FAQs on GCF of Fractions of 8305/652, 4832/7505
1. What is the HCF of 8305,4832?
The HCF of 8305,4832 is 151
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 8305/652, 4832/7505?
Answer: GCF of Numerators as per given numbers 8305/652, 4832/7505 is
GCF of Numerators i.e. for 8305,4832 is 151
LCM of denominators i.e. for 652,7505 is 4893260.
Thus, GCF of Fractions is 151/4893260.Finally, GCF of Fractions for 8305/652, 4832/7505 is 151/4893260.