GCF of 62/52, 437/19, 217/101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/52, 437/19, 217/101 i.e 1/99788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/52, 437/19, 217/101.
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 62/52,437/19,217/101?
Given fractions are 62/52,437/19,217/101
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 62/52,437/19,217/101, numerators are 62,437,217
Denominators are 52,19,101
The GCF of 62,437,217 is 1 .
LCM of 52,19,101 is 99788.
The greatest common factor of 62/52,437/19,217/101 = [GCF of 62,437,217]/[LCM of 52,19,101]= 1/99788
Therefore, the GCF of 62/52,437/19,217/101 is 1/99788.
To find the highest common factor of 62,437,217, 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 437 are 1, 19, 23, 437
The factors of 217 are 1, 7, 31, 217
The HCF of 62,437,217 is 1.
Lets's calculate GCF of 62,437,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,437,217 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 62,437,217 . The biggest common factor number is the GCF number.
So the greatest common factor 62,437,217 is 1.
Lets's calculate LCM of 52,19,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 99788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99788
Therefore, the GCF of Fractions 62/52,437/19,217/101 is 1/99788
Least Common Multiple of 52,19,101 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 52,19,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,19,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,19,101) x common factors =1 x 1 = 1
LCM(52,19,101) = ( 52 × 19 × 101 ) / 1
LCM(52,19,101) = 99788 / 1
LCM(52,19,101) = 99788
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FAQs on GCF of Fractions of 62/52, 437/19, 217/101
1. What is the HCF of 62,437,217?
The HCF of 62,437,217 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 62/52, 437/19, 217/101?
Answer: GCF of Numerators as per given numbers 62/52, 437/19, 217/101 is
GCF of Numerators i.e. for 62,437,217 is 1
LCM of denominators i.e. for 52,19,101 is 99788.
Thus, GCF of Fractions is 1/99788.Finally, GCF of Fractions for 62/52, 437/19, 217/101 is 1/99788.