GCF of 62/847, 39/541, 133/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/847, 39/541, 133/103 i.e 1/47197381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/847, 39/541, 133/103.
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 62/847,39/541,133/103?
Given fractions are 62/847,39/541,133/103
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 62/847,39/541,133/103, numerators are 62,39,133
Denominators are 847,541,103
The GCF of 62,39,133 is 1 .
LCM of 847,541,103 is 47197381.
The greatest common factor of 62/847,39/541,133/103 = [GCF of 62,39,133]/[LCM of 847,541,103]= 1/47197381
Therefore, the GCF of 62/847,39/541,133/103 is 1/47197381.
To find the highest common factor of 62,39,133, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 39 are 1, 3, 13, 39
The factors of 133 are 1, 7, 19, 133
The HCF of 62,39,133 is 1.
Lets's calculate GCF of 62,39,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,39,133 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 133
:1,7,19,133
Greatest Common Factor
We found the factors 62,39,133 . The biggest common factor number is the GCF number.
So the greatest common factor 62,39,133 is 1.
Lets's calculate LCM of 847,541,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 47197381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47197381
Therefore, the GCF of Fractions 62/847,39/541,133/103 is 1/47197381
Least Common Multiple of 847,541,103 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 847,541,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,541,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,541,103) x common factors =1 x 1 = 1
LCM(847,541,103) = ( 847 × 541 × 103 ) / 1
LCM(847,541,103) = 47197381 / 1
LCM(847,541,103) = 47197381
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FAQs on GCF of Fractions of 62/847, 39/541, 133/103
1. What is the HCF of 62,39,133?
The HCF of 62,39,133 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 62/847, 39/541, 133/103?
Answer: GCF of Numerators as per given numbers 62/847, 39/541, 133/103 is
GCF of Numerators i.e. for 62,39,133 is 1
LCM of denominators i.e. for 847,541,103 is 47197381.
Thus, GCF of Fractions is 1/47197381.Finally, GCF of Fractions for 62/847, 39/541, 133/103 is 1/47197381.