GCF of 435/90, 783/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 435/90, 783/206 i.e 87/9270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/90, 783/206.
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 435/90,783/206?
Given fractions are 435/90,783/206
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 435/90,783/206, numerators are 435,783
Denominators are 90,206
The GCF of 435,783 is 87 .
LCM of 90,206 is 9270.
The greatest common factor of 435/90,783/206 = [GCF of 435,783]/[LCM of 90,206]= 87/9270
Therefore, the GCF of 435/90,783/206 is 87/9270.
To find the highest common factor of 435,783, we have to find the factors of both numbers and list the highest common factor.
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The HCF of 435,783 is 87.
Lets's calculate GCF of 435,783
| 3 | 435, 783 |
| 29 | 145, 261 |
| 5, 9 |
∴ So the GCF of the given numbers is 3 x 29 = 87
Greatest Common Factor of 435,783 By Matching Biggest Common Factor Method
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 435,783 . The biggest common factor number is the GCF number.
So the greatest common factor 435,783 is 87.
Lets's calculate LCM of 90,206
| 2 | 90, 206 |
| 45, 103 |
∴ So the LCM of the given numbers is 2 x 45 x 103 = 9270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/9270
Therefore, the GCF of Fractions 435/90,783/206 is 87/9270
Least Common Multiple of 90,206 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 90,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,206) x common factors =2 x 1 = 2
LCM(90,206) = ( 90 × 206 ) / 2
LCM(90,206) = 18540 / 2
LCM(90,206) = 9270
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FAQs on GCF of Fractions of 435/90, 783/206
1. What is the HCF of 435,783?
The HCF of 435,783 is 87
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 435/90, 783/206?
Answer: GCF of Numerators as per given numbers 435/90, 783/206 is
GCF of Numerators i.e. for 435,783 is 87
LCM of denominators i.e. for 90,206 is 9270.
Thus, GCF of Fractions is 87/9270.Finally, GCF of Fractions for 435/90, 783/206 is 87/9270.