GCF of 95/349, 30/101, 705/138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/349, 30/101, 705/138 i.e 5/4864362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/349, 30/101, 705/138.
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 95/349,30/101,705/138?
Given fractions are 95/349,30/101,705/138
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 95/349,30/101,705/138, numerators are 95,30,705
Denominators are 349,101,138
The GCF of 95,30,705 is 5 .
LCM of 349,101,138 is 4864362.
The greatest common factor of 95/349,30/101,705/138 = [GCF of 95,30,705]/[LCM of 349,101,138]= 5/4864362
Therefore, the GCF of 95/349,30/101,705/138 is 5/4864362.
To find the highest common factor of 95,30,705, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The HCF of 95,30,705 is 5.
Lets's calculate GCF of 95,30,705
| 5 | 95, 30, 705 |
| 19, 6, 141 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 95,30,705 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 95,30,705 . The biggest common factor number is the GCF number.
So the greatest common factor 95,30,705 is 5.
Lets's calculate LCM of 349,101,138
Given numbers has no common factors except 1. So, there LCM is their product i.e 4864362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4864362
Therefore, the GCF of Fractions 95/349,30/101,705/138 is 5/4864362
Least Common Multiple of 349,101,138 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 349,101,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,101,138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,101,138) x common factors =1 x 1 = 1
LCM(349,101,138) = ( 349 × 101 × 138 ) / 1
LCM(349,101,138) = 4864362 / 1
LCM(349,101,138) = 4864362
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FAQs on GCF of Fractions of 95/349, 30/101, 705/138
1. What is the HCF of 95,30,705?
The HCF of 95,30,705 is 5
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 95/349, 30/101, 705/138?
Answer: GCF of Numerators as per given numbers 95/349, 30/101, 705/138 is
GCF of Numerators i.e. for 95,30,705 is 5
LCM of denominators i.e. for 349,101,138 is 4864362.
Thus, GCF of Fractions is 5/4864362.Finally, GCF of Fractions for 95/349, 30/101, 705/138 is 5/4864362.