GCF of 435/533, 7642/147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 435/533, 7642/147 i.e 1/78351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/533, 7642/147.
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 435/533,7642/147?
Given fractions are 435/533,7642/147
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 435/533,7642/147, numerators are 435,7642
Denominators are 533,147
The GCF of 435,7642 is 1 .
LCM of 533,147 is 78351.
The greatest common factor of 435/533,7642/147 = [GCF of 435,7642]/[LCM of 533,147]= 1/78351
Therefore, the GCF of 435/533,7642/147 is 1/78351.
To find the highest common factor of 435,7642, 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 7642 are 1, 2, 3821, 7642
The HCF of 435,7642 is 1.
Lets's calculate GCF of 435,7642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 435,7642 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 7642
:1,2,3821,7642
Greatest Common Factor
We found the factors 435,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 435,7642 is 1.
Lets's calculate LCM of 533,147
Given numbers has no common factors except 1. So, there LCM is their product i.e 78351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78351
Therefore, the GCF of Fractions 435/533,7642/147 is 1/78351
Least Common Multiple of 533,147 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 533,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,147) x common factors =1 x 1 = 1
LCM(533,147) = ( 533 × 147 ) / 1
LCM(533,147) = 78351 / 1
LCM(533,147) = 78351
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 435/533, 7642/147
1. What is the HCF of 435,7642?
The HCF of 435,7642 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 435/533, 7642/147?
Answer: GCF of Numerators as per given numbers 435/533, 7642/147 is
GCF of Numerators i.e. for 435,7642 is 1
LCM of denominators i.e. for 533,147 is 78351.
Thus, GCF of Fractions is 1/78351.Finally, GCF of Fractions for 435/533, 7642/147 is 1/78351.