GCF of 7033/435, 1864/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7033/435, 1864/360 i.e 1/10440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7033/435, 1864/360.
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 7033/435,1864/360?
Given fractions are 7033/435,1864/360
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 7033/435,1864/360, numerators are 7033,1864
Denominators are 435,360
The GCF of 7033,1864 is 1 .
LCM of 435,360 is 10440.
The greatest common factor of 7033/435,1864/360 = [GCF of 7033,1864]/[LCM of 435,360]= 1/10440
Therefore, the GCF of 7033/435,1864/360 is 1/10440.
To find the highest common factor of 7033,1864, we have to find the factors of both numbers and list the highest common factor.
The factors of 7033 are 1, 13, 541, 7033
The factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864
The HCF of 7033,1864 is 1.
Lets's calculate GCF of 7033,1864
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7033,1864 By Matching Biggest Common Factor Method
Now, list down the factors of 7033
:1,13,541,7033
Now, list down the factors of 1864
:1,2,4,8,233,466,932,1864
Greatest Common Factor
We found the factors 7033,1864 . The biggest common factor number is the GCF number.
So the greatest common factor 7033,1864 is 1.
Lets's calculate LCM of 435,360
| 3 | 435, 360 |
| 5 | 145, 120 |
| 29, 24 |
∴ So the LCM of the given numbers is 3 x 5 x 29 x 24 = 10440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10440
Therefore, the GCF of Fractions 7033/435,1864/360 is 1/10440
Least Common Multiple of 435,360 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 435,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,360) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(435,360) x common factors =15 x 1 = 15
LCM(435,360) = ( 435 × 360 ) / 15
LCM(435,360) = 156600 / 15
LCM(435,360) = 10440
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FAQs on GCF of Fractions of 7033/435, 1864/360
1. What is the HCF of 7033,1864?
The HCF of 7033,1864 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 7033/435, 1864/360?
Answer: GCF of Numerators as per given numbers 7033/435, 1864/360 is
GCF of Numerators i.e. for 7033,1864 is 1
LCM of denominators i.e. for 435,360 is 10440.
Thus, GCF of Fractions is 1/10440.Finally, GCF of Fractions for 7033/435, 1864/360 is 1/10440.