GCF of 3433/742, 8639/8888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3433/742, 8639/8888 i.e 1/3297448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3433/742, 8639/8888.
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 3433/742,8639/8888?
Given fractions are 3433/742,8639/8888
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 3433/742,8639/8888, numerators are 3433,8639
Denominators are 742,8888
The GCF of 3433,8639 is 1 .
LCM of 742,8888 is 3297448.
The greatest common factor of 3433/742,8639/8888 = [GCF of 3433,8639]/[LCM of 742,8888]= 1/3297448
Therefore, the GCF of 3433/742,8639/8888 is 1/3297448.
To find the highest common factor of 3433,8639, we have to find the factors of both numbers and list the highest common factor.
The factors of 3433 are 1, 3433
The factors of 8639 are 1, 53, 163, 8639
The HCF of 3433,8639 is 1.
Lets's calculate GCF of 3433,8639
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3433,8639 By Matching Biggest Common Factor Method
Now, list down the factors of 3433
:1,3433
Now, list down the factors of 8639
:1,53,163,8639
Greatest Common Factor
We found the factors 3433,8639 . The biggest common factor number is the GCF number.
So the greatest common factor 3433,8639 is 1.
Lets's calculate LCM of 742,8888
| 2 | 742, 8888 |
| 371, 4444 |
∴ So the LCM of the given numbers is 2 x 371 x 4444 = 3297448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3297448
Therefore, the GCF of Fractions 3433/742,8639/8888 is 1/3297448
Least Common Multiple of 742,8888 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 742,8888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,8888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,8888) x common factors =2 x 1 = 2
LCM(742,8888) = ( 742 × 8888 ) / 2
LCM(742,8888) = 6594896 / 2
LCM(742,8888) = 3297448
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3433/742, 8639/8888
1. What is the HCF of 3433,8639?
The HCF of 3433,8639 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 3433/742, 8639/8888?
Answer: GCF of Numerators as per given numbers 3433/742, 8639/8888 is
GCF of Numerators i.e. for 3433,8639 is 1
LCM of denominators i.e. for 742,8888 is 3297448.
Thus, GCF of Fractions is 1/3297448.Finally, GCF of Fractions for 3433/742, 8639/8888 is 1/3297448.