GCF of 560/82, 634/57, 709/510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 560/82, 634/57, 709/510 i.e 1/397290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 560/82, 634/57, 709/510.
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 560/82,634/57,709/510?
Given fractions are 560/82,634/57,709/510
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 560/82,634/57,709/510, numerators are 560,634,709
Denominators are 82,57,510
The GCF of 560,634,709 is 1 .
LCM of 82,57,510 is 397290.
The greatest common factor of 560/82,634/57,709/510 = [GCF of 560,634,709]/[LCM of 82,57,510]= 1/397290
Therefore, the GCF of 560/82,634/57,709/510 is 1/397290.
To find the highest common factor of 560,634,709, we have to find the factors of both numbers and list the highest common factor.
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The factors of 634 are 1, 2, 317, 634
The factors of 709 are 1, 709
The HCF of 560,634,709 is 1.
Lets's calculate GCF of 560,634,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 560,634,709 By Matching Biggest Common Factor Method
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Now, list down the factors of 634
:1,2,317,634
Now, list down the factors of 709
:1,709
Greatest Common Factor
We found the factors 560,634,709 . The biggest common factor number is the GCF number.
So the greatest common factor 560,634,709 is 1.
Lets's calculate LCM of 82,57,510
| 2 | 82, 57, 510 |
| 3 | 41, 57, 255 |
| 41, 19, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 19 x 85 = 397290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397290
Therefore, the GCF of Fractions 560/82,634/57,709/510 is 1/397290
Least Common Multiple of 82,57,510 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 82,57,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,57,510) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(82,57,510) x common factors =1 x 6 = 6
LCM(82,57,510) = ( 82 × 57 × 510 ) / 6
LCM(82,57,510) = 2383740 / 6
LCM(82,57,510) = 397290
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FAQs on GCF of Fractions of 560/82, 634/57, 709/510
1. What is the HCF of 560,634,709?
The HCF of 560,634,709 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 560/82, 634/57, 709/510?
Answer: GCF of Numerators as per given numbers 560/82, 634/57, 709/510 is
GCF of Numerators i.e. for 560,634,709 is 1
LCM of denominators i.e. for 82,57,510 is 397290.
Thus, GCF of Fractions is 1/397290.Finally, GCF of Fractions for 560/82, 634/57, 709/510 is 1/397290.