GCF of 95/469, 70/392, 343/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/469, 70/392, 343/153 i.e 1/4018392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/469, 70/392, 343/153.
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 95/469,70/392,343/153?
Given fractions are 95/469,70/392,343/153
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 95/469,70/392,343/153, numerators are 95,70,343
Denominators are 469,392,153
The GCF of 95,70,343 is 1 .
LCM of 469,392,153 is 4018392.
The greatest common factor of 95/469,70/392,343/153 = [GCF of 95,70,343]/[LCM of 469,392,153]= 1/4018392
Therefore, the GCF of 95/469,70/392,343/153 is 1/4018392.
To find the highest common factor of 95,70,343, 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 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 343 are 1, 7, 49, 343
The HCF of 95,70,343 is 1.
Lets's calculate GCF of 95,70,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,70,343 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 343
:1,7,49,343
Greatest Common Factor
We found the factors 95,70,343 . The biggest common factor number is the GCF number.
So the greatest common factor 95,70,343 is 1.
Lets's calculate LCM of 469,392,153
| 7 | 469, 392, 153 |
| 67, 56, 153 |
∴ So the LCM of the given numbers is 7 x 67 x 56 x 153 = 4018392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4018392
Therefore, the GCF of Fractions 95/469,70/392,343/153 is 1/4018392
Least Common Multiple of 469,392,153 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 469,392,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,392,153) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(469,392,153) x common factors =1 x 7 = 7
LCM(469,392,153) = ( 469 × 392 × 153 ) / 7
LCM(469,392,153) = 28128744 / 7
LCM(469,392,153) = 4018392
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FAQs on GCF of Fractions of 95/469, 70/392, 343/153
1. What is the HCF of 95,70,343?
The HCF of 95,70,343 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 95/469, 70/392, 343/153?
Answer: GCF of Numerators as per given numbers 95/469, 70/392, 343/153 is
GCF of Numerators i.e. for 95,70,343 is 1
LCM of denominators i.e. for 469,392,153 is 4018392.
Thus, GCF of Fractions is 1/4018392.Finally, GCF of Fractions for 95/469, 70/392, 343/153 is 1/4018392.