GCF of 62/92, 26/50, 357/950
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/92, 26/50, 357/950 i.e 1/43700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/92, 26/50, 357/950.
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 62/92,26/50,357/950?
Given fractions are 62/92,26/50,357/950
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 62/92,26/50,357/950, numerators are 62,26,357
Denominators are 92,50,950
The GCF of 62,26,357 is 1 .
LCM of 92,50,950 is 43700.
The greatest common factor of 62/92,26/50,357/950 = [GCF of 62,26,357]/[LCM of 92,50,950]= 1/43700
Therefore, the GCF of 62/92,26/50,357/950 is 1/43700.
To find the highest common factor of 62,26,357, 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 26 are 1, 2, 13, 26
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The HCF of 62,26,357 is 1.
Lets's calculate GCF of 62,26,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,26,357 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 62,26,357 . The biggest common factor number is the GCF number.
So the greatest common factor 62,26,357 is 1.
Lets's calculate LCM of 92,50,950
| 2 | 92, 50, 950 |
| 5 | 46, 25, 475 |
| 5 | 46, 5, 95 |
| 46, 1, 19 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 46 x 1 x 19 = 43700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43700
Therefore, the GCF of Fractions 62/92,26/50,357/950 is 1/43700
Least Common Multiple of 92,50,950 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 92,50,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,50,950) = 2
common factors(in case of two or more numbers have common factors) = 50
GCF(92,50,950) x common factors =2 x 50 = 100
LCM(92,50,950) = ( 92 × 50 × 950 ) / 100
LCM(92,50,950) = 4370000 / 100
LCM(92,50,950) = 43700
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FAQs on GCF of Fractions of 62/92, 26/50, 357/950
1. What is the HCF of 62,26,357?
The HCF of 62,26,357 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 62/92, 26/50, 357/950?
Answer: GCF of Numerators as per given numbers 62/92, 26/50, 357/950 is
GCF of Numerators i.e. for 62,26,357 is 1
LCM of denominators i.e. for 92,50,950 is 43700.
Thus, GCF of Fractions is 1/43700.Finally, GCF of Fractions for 62/92, 26/50, 357/950 is 1/43700.