GCF of 4145/178, 5204/8524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4145/178, 5204/8524 i.e 1/758636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4145/178, 5204/8524.
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 4145/178,5204/8524?
Given fractions are 4145/178,5204/8524
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 4145/178,5204/8524, numerators are 4145,5204
Denominators are 178,8524
The GCF of 4145,5204 is 1 .
LCM of 178,8524 is 758636.
The greatest common factor of 4145/178,5204/8524 = [GCF of 4145,5204]/[LCM of 178,8524]= 1/758636
Therefore, the GCF of 4145/178,5204/8524 is 1/758636.
To find the highest common factor of 4145,5204, we have to find the factors of both numbers and list the highest common factor.
The factors of 4145 are 1, 5, 829, 4145
The factors of 5204 are 1, 2, 4, 1301, 2602, 5204
The HCF of 4145,5204 is 1.
Lets's calculate GCF of 4145,5204
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4145,5204 By Matching Biggest Common Factor Method
Now, list down the factors of 4145
:1,5,829,4145
Now, list down the factors of 5204
:1,2,4,1301,2602,5204
Greatest Common Factor
We found the factors 4145,5204 . The biggest common factor number is the GCF number.
So the greatest common factor 4145,5204 is 1.
Lets's calculate LCM of 178,8524
| 2 | 178, 8524 |
| 89, 4262 |
∴ So the LCM of the given numbers is 2 x 89 x 4262 = 758636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/758636
Therefore, the GCF of Fractions 4145/178,5204/8524 is 1/758636
Least Common Multiple of 178,8524 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 178,8524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,8524) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,8524) x common factors =2 x 1 = 2
LCM(178,8524) = ( 178 × 8524 ) / 2
LCM(178,8524) = 1517272 / 2
LCM(178,8524) = 758636
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FAQs on GCF of Fractions of 4145/178, 5204/8524
1. What is the HCF of 4145,5204?
The HCF of 4145,5204 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 4145/178, 5204/8524?
Answer: GCF of Numerators as per given numbers 4145/178, 5204/8524 is
GCF of Numerators i.e. for 4145,5204 is 1
LCM of denominators i.e. for 178,8524 is 758636.
Thus, GCF of Fractions is 1/758636.Finally, GCF of Fractions for 4145/178, 5204/8524 is 1/758636.