GCF of 869/732, 3354/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 869/732, 3354/538 i.e 1/196908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/732, 3354/538.
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 869/732,3354/538?
Given fractions are 869/732,3354/538
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 869/732,3354/538, numerators are 869,3354
Denominators are 732,538
The GCF of 869,3354 is 1 .
LCM of 732,538 is 196908.
The greatest common factor of 869/732,3354/538 = [GCF of 869,3354]/[LCM of 732,538]= 1/196908
Therefore, the GCF of 869/732,3354/538 is 1/196908.
To find the highest common factor of 869,3354, we have to find the factors of both numbers and list the highest common factor.
The factors of 869 are 1, 11, 79, 869
The factors of 3354 are 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354
The HCF of 869,3354 is 1.
Lets's calculate GCF of 869,3354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 869,3354 By Matching Biggest Common Factor Method
Now, list down the factors of 869
:1,11,79,869
Now, list down the factors of 3354
:1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354
Greatest Common Factor
We found the factors 869,3354 . The biggest common factor number is the GCF number.
So the greatest common factor 869,3354 is 1.
Lets's calculate LCM of 732,538
| 2 | 732, 538 |
| 366, 269 |
∴ So the LCM of the given numbers is 2 x 366 x 269 = 196908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196908
Therefore, the GCF of Fractions 869/732,3354/538 is 1/196908
Least Common Multiple of 732,538 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 732,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,538) x common factors =2 x 1 = 2
LCM(732,538) = ( 732 × 538 ) / 2
LCM(732,538) = 393816 / 2
LCM(732,538) = 196908
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FAQs on GCF of Fractions of 869/732, 3354/538
1. What is the HCF of 869,3354?
The HCF of 869,3354 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 869/732, 3354/538?
Answer: GCF of Numerators as per given numbers 869/732, 3354/538 is
GCF of Numerators i.e. for 869,3354 is 1
LCM of denominators i.e. for 732,538 is 196908.
Thus, GCF of Fractions is 1/196908.Finally, GCF of Fractions for 869/732, 3354/538 is 1/196908.