GCF of 579/692, 142/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 579/692, 142/410 i.e 1/141860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/692, 142/410.
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 579/692,142/410?
Given fractions are 579/692,142/410
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 579/692,142/410, numerators are 579,142
Denominators are 692,410
The GCF of 579,142 is 1 .
LCM of 692,410 is 141860.
The greatest common factor of 579/692,142/410 = [GCF of 579,142]/[LCM of 692,410]= 1/141860
Therefore, the GCF of 579/692,142/410 is 1/141860.
To find the highest common factor of 579,142, we have to find the factors of both numbers and list the highest common factor.
The factors of 579 are 1, 3, 193, 579
The factors of 142 are 1, 2, 71, 142
The HCF of 579,142 is 1.
Lets's calculate GCF of 579,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 579,142 By Matching Biggest Common Factor Method
Now, list down the factors of 579
:1,3,193,579
Now, list down the factors of 142
:1,2,71,142
Greatest Common Factor
We found the factors 579,142 . The biggest common factor number is the GCF number.
So the greatest common factor 579,142 is 1.
Lets's calculate LCM of 692,410
| 2 | 692, 410 |
| 346, 205 |
∴ So the LCM of the given numbers is 2 x 346 x 205 = 141860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141860
Therefore, the GCF of Fractions 579/692,142/410 is 1/141860
Least Common Multiple of 692,410 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 692,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,410) x common factors =2 x 1 = 2
LCM(692,410) = ( 692 × 410 ) / 2
LCM(692,410) = 283720 / 2
LCM(692,410) = 141860
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FAQs on GCF of Fractions of 579/692, 142/410
1. What is the HCF of 579,142?
The HCF of 579,142 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 579/692, 142/410?
Answer: GCF of Numerators as per given numbers 579/692, 142/410 is
GCF of Numerators i.e. for 579,142 is 1
LCM of denominators i.e. for 692,410 is 141860.
Thus, GCF of Fractions is 1/141860.Finally, GCF of Fractions for 579/692, 142/410 is 1/141860.