GCF of 955/257, 865/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 955/257, 865/769 i.e 5/197633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/257, 865/769.
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 955/257,865/769?
Given fractions are 955/257,865/769
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 955/257,865/769, numerators are 955,865
Denominators are 257,769
The GCF of 955,865 is 5 .
LCM of 257,769 is 197633.
The greatest common factor of 955/257,865/769 = [GCF of 955,865]/[LCM of 257,769]= 5/197633
Therefore, the GCF of 955/257,865/769 is 5/197633.
To find the highest common factor of 955,865, we have to find the factors of both numbers and list the highest common factor.
The factors of 955 are 1, 5, 191, 955
The factors of 865 are 1, 5, 173, 865
The HCF of 955,865 is 5.
Lets's calculate GCF of 955,865
| 5 | 955, 865 |
| 191, 173 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 955,865 By Matching Biggest Common Factor Method
Now, list down the factors of 955
:1,5,191,955
Now, list down the factors of 865
:1,5,173,865
Greatest Common Factor
We found the factors 955,865 . The biggest common factor number is the GCF number.
So the greatest common factor 955,865 is 5.
Lets's calculate LCM of 257,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 197633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/197633
Therefore, the GCF of Fractions 955/257,865/769 is 5/197633
Least Common Multiple of 257,769 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 257,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,769) x common factors =1 x 1 = 1
LCM(257,769) = ( 257 × 769 ) / 1
LCM(257,769) = 197633 / 1
LCM(257,769) = 197633
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FAQs on GCF of Fractions of 955/257, 865/769
1. What is the HCF of 955,865?
The HCF of 955,865 is 5
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 955/257, 865/769?
Answer: GCF of Numerators as per given numbers 955/257, 865/769 is
GCF of Numerators i.e. for 955,865 is 5
LCM of denominators i.e. for 257,769 is 197633.
Thus, GCF of Fractions is 5/197633.Finally, GCF of Fractions for 955/257, 865/769 is 5/197633.