GCF of 1757/693, 9758/2442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1757/693, 9758/2442 i.e 7/51282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1757/693, 9758/2442.
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 1757/693,9758/2442?
Given fractions are 1757/693,9758/2442
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 1757/693,9758/2442, numerators are 1757,9758
Denominators are 693,2442
The GCF of 1757,9758 is 7 .
LCM of 693,2442 is 51282.
The greatest common factor of 1757/693,9758/2442 = [GCF of 1757,9758]/[LCM of 693,2442]= 7/51282
Therefore, the GCF of 1757/693,9758/2442 is 7/51282.
To find the highest common factor of 1757,9758, we have to find the factors of both numbers and list the highest common factor.
The factors of 1757 are 1, 7, 251, 1757
The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758
The HCF of 1757,9758 is 7.
Lets's calculate GCF of 1757,9758
| 7 | 1757, 9758 |
| 251, 1394 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1757,9758 By Matching Biggest Common Factor Method
Now, list down the factors of 1757
:1,7,251,1757
Now, list down the factors of 9758
:1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Greatest Common Factor
We found the factors 1757,9758 . The biggest common factor number is the GCF number.
So the greatest common factor 1757,9758 is 7.
Lets's calculate LCM of 693,2442
| 3 | 693, 2442 |
| 11 | 231, 814 |
| 21, 74 |
∴ So the LCM of the given numbers is 3 x 11 x 21 x 74 = 51282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/51282
Therefore, the GCF of Fractions 1757/693,9758/2442 is 7/51282
Least Common Multiple of 693,2442 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 693,2442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,2442) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(693,2442) x common factors =33 x 1 = 33
LCM(693,2442) = ( 693 × 2442 ) / 33
LCM(693,2442) = 1692306 / 33
LCM(693,2442) = 51282
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1757/693, 9758/2442
1. What is the HCF of 1757,9758?
The HCF of 1757,9758 is 7
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 1757/693, 9758/2442?
Answer: GCF of Numerators as per given numbers 1757/693, 9758/2442 is
GCF of Numerators i.e. for 1757,9758 is 7
LCM of denominators i.e. for 693,2442 is 51282.
Thus, GCF of Fractions is 7/51282.Finally, GCF of Fractions for 1757/693, 9758/2442 is 7/51282.