GCF of 71/70, 19/342, 657/570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 71/70, 19/342, 657/570 i.e 1/11970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/70, 19/342, 657/570.
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 71/70,19/342,657/570?
Given fractions are 71/70,19/342,657/570
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 71/70,19/342,657/570, numerators are 71,19,657
Denominators are 70,342,570
The GCF of 71,19,657 is 1 .
LCM of 70,342,570 is 11970.
The greatest common factor of 71/70,19/342,657/570 = [GCF of 71,19,657]/[LCM of 70,342,570]= 1/11970
Therefore, the GCF of 71/70,19/342,657/570 is 1/11970.
To find the highest common factor of 71,19,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 19 are 1, 19
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 71,19,657 is 1.
Lets's calculate GCF of 71,19,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 71,19,657 By Matching Biggest Common Factor Method
Now, list down the factors of 71
:1,71
Now, list down the factors of 19
:1,19
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 71,19,657 . The biggest common factor number is the GCF number.
So the greatest common factor 71,19,657 is 1.
Lets's calculate LCM of 70,342,570
| 2 | 70, 342, 570 |
| 3 | 35, 171, 285 |
| 5 | 35, 57, 95 |
| 19 | 7, 57, 19 |
| 7, 3, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 7 x 3 x 1 = 11970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11970
Therefore, the GCF of Fractions 71/70,19/342,657/570 is 1/11970
Least Common Multiple of 70,342,570 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 70,342,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,342,570) = 2
common factors(in case of two or more numbers have common factors) = 570
GCF(70,342,570) x common factors =2 x 570 = 1140
LCM(70,342,570) = ( 70 × 342 × 570 ) / 1140
LCM(70,342,570) = 13645800 / 1140
LCM(70,342,570) = 11970
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FAQs on GCF of Fractions of 71/70, 19/342, 657/570
1. What is the HCF of 71,19,657?
The HCF of 71,19,657 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 71/70, 19/342, 657/570?
Answer: GCF of Numerators as per given numbers 71/70, 19/342, 657/570 is
GCF of Numerators i.e. for 71,19,657 is 1
LCM of denominators i.e. for 70,342,570 is 11970.
Thus, GCF of Fractions is 1/11970.Finally, GCF of Fractions for 71/70, 19/342, 657/570 is 1/11970.