GCF of 4169/760, 1572/4755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4169/760, 1572/4755 i.e 1/722760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4169/760, 1572/4755.
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 4169/760,1572/4755?
Given fractions are 4169/760,1572/4755
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 4169/760,1572/4755, numerators are 4169,1572
Denominators are 760,4755
The GCF of 4169,1572 is 1 .
LCM of 760,4755 is 722760.
The greatest common factor of 4169/760,1572/4755 = [GCF of 4169,1572]/[LCM of 760,4755]= 1/722760
Therefore, the GCF of 4169/760,1572/4755 is 1/722760.
To find the highest common factor of 4169,1572, we have to find the factors of both numbers and list the highest common factor.
The factors of 4169 are 1, 11, 379, 4169
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The HCF of 4169,1572 is 1.
Lets's calculate GCF of 4169,1572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4169,1572 By Matching Biggest Common Factor Method
Now, list down the factors of 4169
:1,11,379,4169
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Greatest Common Factor
We found the factors 4169,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 4169,1572 is 1.
Lets's calculate LCM of 760,4755
| 5 | 760, 4755 |
| 152, 951 |
∴ So the LCM of the given numbers is 5 x 152 x 951 = 722760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722760
Therefore, the GCF of Fractions 4169/760,1572/4755 is 1/722760
Least Common Multiple of 760,4755 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 760,4755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,4755) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(760,4755) x common factors =5 x 1 = 5
LCM(760,4755) = ( 760 × 4755 ) / 5
LCM(760,4755) = 3613800 / 5
LCM(760,4755) = 722760
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4169/760, 1572/4755
1. What is the HCF of 4169,1572?
The HCF of 4169,1572 is 1
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 4169/760, 1572/4755?
Answer: GCF of Numerators as per given numbers 4169/760, 1572/4755 is
GCF of Numerators i.e. for 4169,1572 is 1
LCM of denominators i.e. for 760,4755 is 722760.
Thus, GCF of Fractions is 1/722760.Finally, GCF of Fractions for 4169/760, 1572/4755 is 1/722760.