GCF of 10/742, 284/262, 649/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 10/742, 284/262, 649/587 i.e 1/57057574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/742, 284/262, 649/587.
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 10/742,284/262,649/587?
Given fractions are 10/742,284/262,649/587
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 10/742,284/262,649/587, numerators are 10,284,649
Denominators are 742,262,587
The GCF of 10,284,649 is 1 .
LCM of 742,262,587 is 57057574.
The greatest common factor of 10/742,284/262,649/587 = [GCF of 10,284,649]/[LCM of 742,262,587]= 1/57057574
Therefore, the GCF of 10/742,284/262,649/587 is 1/57057574.
To find the highest common factor of 10,284,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 284 are 1, 2, 4, 71, 142, 284
The factors of 649 are 1, 11, 59, 649
The HCF of 10,284,649 is 1.
Lets's calculate GCF of 10,284,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 10,284,649 By Matching Biggest Common Factor Method
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 284
:1,2,4,71,142,284
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 10,284,649 . The biggest common factor number is the GCF number.
So the greatest common factor 10,284,649 is 1.
Lets's calculate LCM of 742,262,587
| 2 | 742, 262, 587 |
| 371, 131, 587 |
∴ So the LCM of the given numbers is 2 x 371 x 131 x 587 = 57057574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57057574
Therefore, the GCF of Fractions 10/742,284/262,649/587 is 1/57057574
Least Common Multiple of 742,262,587 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 742,262,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,262,587) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(742,262,587) x common factors =1 x 2 = 2
LCM(742,262,587) = ( 742 × 262 × 587 ) / 2
LCM(742,262,587) = 114115148 / 2
LCM(742,262,587) = 57057574
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FAQs on GCF of Fractions of 10/742, 284/262, 649/587
1. What is the HCF of 10,284,649?
The HCF of 10,284,649 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 10/742, 284/262, 649/587?
Answer: GCF of Numerators as per given numbers 10/742, 284/262, 649/587 is
GCF of Numerators i.e. for 10,284,649 is 1
LCM of denominators i.e. for 742,262,587 is 57057574.
Thus, GCF of Fractions is 1/57057574.Finally, GCF of Fractions for 10/742, 284/262, 649/587 is 1/57057574.