GCF of 95/53, 706/34, 787/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/53, 706/34, 787/995 i.e 1/1792990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/53, 706/34, 787/995.
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 95/53,706/34,787/995?
Given fractions are 95/53,706/34,787/995
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 95/53,706/34,787/995, numerators are 95,706,787
Denominators are 53,34,995
The GCF of 95,706,787 is 1 .
LCM of 53,34,995 is 1792990.
The greatest common factor of 95/53,706/34,787/995 = [GCF of 95,706,787]/[LCM of 53,34,995]= 1/1792990
Therefore, the GCF of 95/53,706/34,787/995 is 1/1792990.
To find the highest common factor of 95,706,787, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 706 are 1, 2, 353, 706
The factors of 787 are 1, 787
The HCF of 95,706,787 is 1.
Lets's calculate GCF of 95,706,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,706,787 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 787
:1,787
Greatest Common Factor
We found the factors 95,706,787 . The biggest common factor number is the GCF number.
So the greatest common factor 95,706,787 is 1.
Lets's calculate LCM of 53,34,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 1792990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1792990
Therefore, the GCF of Fractions 95/53,706/34,787/995 is 1/1792990
Least Common Multiple of 53,34,995 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 53,34,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,34,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,34,995) x common factors =1 x 1 = 1
LCM(53,34,995) = ( 53 × 34 × 995 ) / 1
LCM(53,34,995) = 1792990 / 1
LCM(53,34,995) = 1792990
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FAQs on GCF of Fractions of 95/53, 706/34, 787/995
1. What is the HCF of 95,706,787?
The HCF of 95,706,787 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 95/53, 706/34, 787/995?
Answer: GCF of Numerators as per given numbers 95/53, 706/34, 787/995 is
GCF of Numerators i.e. for 95,706,787 is 1
LCM of denominators i.e. for 53,34,995 is 1792990.
Thus, GCF of Fractions is 1/1792990.Finally, GCF of Fractions for 95/53, 706/34, 787/995 is 1/1792990.