GCF of 957/970, 9826/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 957/970, 9826/770 i.e 1/74690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/970, 9826/770.
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 957/970,9826/770?
Given fractions are 957/970,9826/770
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 957/970,9826/770, numerators are 957,9826
Denominators are 970,770
The GCF of 957,9826 is 1 .
LCM of 970,770 is 74690.
The greatest common factor of 957/970,9826/770 = [GCF of 957,9826]/[LCM of 970,770]= 1/74690
Therefore, the GCF of 957/970,9826/770 is 1/74690.
To find the highest common factor of 957,9826, we have to find the factors of both numbers and list the highest common factor.
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826
The HCF of 957,9826 is 1.
Lets's calculate GCF of 957,9826
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 957,9826 By Matching Biggest Common Factor Method
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Now, list down the factors of 9826
:1,2,17,34,289,578,4913,9826
Greatest Common Factor
We found the factors 957,9826 . The biggest common factor number is the GCF number.
So the greatest common factor 957,9826 is 1.
Lets's calculate LCM of 970,770
| 2 | 970, 770 |
| 5 | 485, 385 |
| 97, 77 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 77 = 74690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74690
Therefore, the GCF of Fractions 957/970,9826/770 is 1/74690
Least Common Multiple of 970,770 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 970,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,770) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(970,770) x common factors =10 x 1 = 10
LCM(970,770) = ( 970 × 770 ) / 10
LCM(970,770) = 746900 / 10
LCM(970,770) = 74690
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 957/970, 9826/770
1. What is the HCF of 957,9826?
The HCF of 957,9826 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 957/970, 9826/770?
Answer: GCF of Numerators as per given numbers 957/970, 9826/770 is
GCF of Numerators i.e. for 957,9826 is 1
LCM of denominators i.e. for 970,770 is 74690.
Thus, GCF of Fractions is 1/74690.Finally, GCF of Fractions for 957/970, 9826/770 is 1/74690.