GCF of 61/950, 76/190, 546/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/950, 76/190, 546/170 i.e 1/16150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/950, 76/190, 546/170.
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 61/950,76/190,546/170?
Given fractions are 61/950,76/190,546/170
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 61/950,76/190,546/170, numerators are 61,76,546
Denominators are 950,190,170
The GCF of 61,76,546 is 1 .
LCM of 950,190,170 is 16150.
The greatest common factor of 61/950,76/190,546/170 = [GCF of 61,76,546]/[LCM of 950,190,170]= 1/16150
Therefore, the GCF of 61/950,76/190,546/170 is 1/16150.
To find the highest common factor of 61,76,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 61,76,546 is 1.
Lets's calculate GCF of 61,76,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,76,546 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 61,76,546 . The biggest common factor number is the GCF number.
So the greatest common factor 61,76,546 is 1.
Lets's calculate LCM of 950,190,170
| 2 | 950, 190, 170 |
| 5 | 475, 95, 85 |
| 19 | 19, 95, 17 |
| 1, 5, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 5 x 17 = 16150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16150
Therefore, the GCF of Fractions 61/950,76/190,546/170 is 1/16150
Least Common Multiple of 950,190,170 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 950,190,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,190,170) = 10
common factors(in case of two or more numbers have common factors) = 190
GCF(950,190,170) x common factors =10 x 190 = 1900
LCM(950,190,170) = ( 950 × 190 × 170 ) / 1900
LCM(950,190,170) = 30685000 / 1900
LCM(950,190,170) = 16150
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FAQs on GCF of Fractions of 61/950, 76/190, 546/170
1. What is the HCF of 61,76,546?
The HCF of 61,76,546 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 61/950, 76/190, 546/170?
Answer: GCF of Numerators as per given numbers 61/950, 76/190, 546/170 is
GCF of Numerators i.e. for 61,76,546 is 1
LCM of denominators i.e. for 950,190,170 is 16150.
Thus, GCF of Fractions is 1/16150.Finally, GCF of Fractions for 61/950, 76/190, 546/170 is 1/16150.