GCF of 1957/953, 2869/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1957/953, 2869/575 i.e 19/547975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1957/953, 2869/575.
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 1957/953,2869/575?
Given fractions are 1957/953,2869/575
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 1957/953,2869/575, numerators are 1957,2869
Denominators are 953,575
The GCF of 1957,2869 is 19 .
LCM of 953,575 is 547975.
The greatest common factor of 1957/953,2869/575 = [GCF of 1957,2869]/[LCM of 953,575]= 19/547975
Therefore, the GCF of 1957/953,2869/575 is 19/547975.
To find the highest common factor of 1957,2869, we have to find the factors of both numbers and list the highest common factor.
The factors of 1957 are 1, 19, 103, 1957
The factors of 2869 are 1, 19, 151, 2869
The HCF of 1957,2869 is 19.
Lets's calculate GCF of 1957,2869
| 19 | 1957, 2869 |
| 103, 151 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 1957,2869 By Matching Biggest Common Factor Method
Now, list down the factors of 1957
:1,19,103,1957
Now, list down the factors of 2869
:1,19,151,2869
Greatest Common Factor
We found the factors 1957,2869 . The biggest common factor number is the GCF number.
So the greatest common factor 1957,2869 is 19.
Lets's calculate LCM of 953,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 547975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/547975
Therefore, the GCF of Fractions 1957/953,2869/575 is 19/547975
Least Common Multiple of 953,575 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 953,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,575) x common factors =1 x 1 = 1
LCM(953,575) = ( 953 × 575 ) / 1
LCM(953,575) = 547975 / 1
LCM(953,575) = 547975
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FAQs on GCF of Fractions of 1957/953, 2869/575
1. What is the HCF of 1957,2869?
The HCF of 1957,2869 is 19
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 1957/953, 2869/575?
Answer: GCF of Numerators as per given numbers 1957/953, 2869/575 is
GCF of Numerators i.e. for 1957,2869 is 19
LCM of denominators i.e. for 953,575 is 547975.
Thus, GCF of Fractions is 19/547975.Finally, GCF of Fractions for 1957/953, 2869/575 is 19/547975.