GCF of 4351/323, 4900/8075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4351/323, 4900/8075 i.e 1/8075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4351/323, 4900/8075.
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 4351/323,4900/8075?
Given fractions are 4351/323,4900/8075
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 4351/323,4900/8075, numerators are 4351,4900
Denominators are 323,8075
The GCF of 4351,4900 is 1 .
LCM of 323,8075 is 8075.
The greatest common factor of 4351/323,4900/8075 = [GCF of 4351,4900]/[LCM of 323,8075]= 1/8075
Therefore, the GCF of 4351/323,4900/8075 is 1/8075.
To find the highest common factor of 4351,4900, we have to find the factors of both numbers and list the highest common factor.
The factors of 4351 are 1, 19, 229, 4351
The factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900
The HCF of 4351,4900 is 1.
Lets's calculate GCF of 4351,4900
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4351,4900 By Matching Biggest Common Factor Method
Now, list down the factors of 4351
:1,19,229,4351
Now, list down the factors of 4900
:1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Greatest Common Factor
We found the factors 4351,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 4351,4900 is 1.
Lets's calculate LCM of 323,8075
| 17 | 323, 8075 |
| 19 | 19, 475 |
| 1, 25 |
∴ So the LCM of the given numbers is 17 x 19 x 1 x 25 = 8075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8075
Therefore, the GCF of Fractions 4351/323,4900/8075 is 1/8075
Least Common Multiple of 323,8075 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 323,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,8075) = 323
common factors(in case of two or more numbers have common factors) = 1
GCF(323,8075) x common factors =323 x 1 = 323
LCM(323,8075) = ( 323 × 8075 ) / 323
LCM(323,8075) = 2608225 / 323
LCM(323,8075) = 8075
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FAQs on GCF of Fractions of 4351/323, 4900/8075
1. What is the HCF of 4351,4900?
The HCF of 4351,4900 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 4351/323, 4900/8075?
Answer: GCF of Numerators as per given numbers 4351/323, 4900/8075 is
GCF of Numerators i.e. for 4351,4900 is 1
LCM of denominators i.e. for 323,8075 is 8075.
Thus, GCF of Fractions is 1/8075.Finally, GCF of Fractions for 4351/323, 4900/8075 is 1/8075.