GCF of 9716/972, 1707/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9716/972, 1707/467 i.e 1/453924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9716/972, 1707/467.
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 9716/972,1707/467?
Given fractions are 9716/972,1707/467
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 9716/972,1707/467, numerators are 9716,1707
Denominators are 972,467
The GCF of 9716,1707 is 1 .
LCM of 972,467 is 453924.
The greatest common factor of 9716/972,1707/467 = [GCF of 9716,1707]/[LCM of 972,467]= 1/453924
Therefore, the GCF of 9716/972,1707/467 is 1/453924.
To find the highest common factor of 9716,1707, we have to find the factors of both numbers and list the highest common factor.
The factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716
The factors of 1707 are 1, 3, 569, 1707
The HCF of 9716,1707 is 1.
Lets's calculate GCF of 9716,1707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9716,1707 By Matching Biggest Common Factor Method
Now, list down the factors of 9716
:1,2,4,7,14,28,347,694,1388,2429,4858,9716
Now, list down the factors of 1707
:1,3,569,1707
Greatest Common Factor
We found the factors 9716,1707 . The biggest common factor number is the GCF number.
So the greatest common factor 9716,1707 is 1.
Lets's calculate LCM of 972,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 453924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453924
Therefore, the GCF of Fractions 9716/972,1707/467 is 1/453924
Least Common Multiple of 972,467 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 972,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,467) x common factors =1 x 1 = 1
LCM(972,467) = ( 972 × 467 ) / 1
LCM(972,467) = 453924 / 1
LCM(972,467) = 453924
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FAQs on GCF of Fractions of 9716/972, 1707/467
1. What is the HCF of 9716,1707?
The HCF of 9716,1707 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 9716/972, 1707/467?
Answer: GCF of Numerators as per given numbers 9716/972, 1707/467 is
GCF of Numerators i.e. for 9716,1707 is 1
LCM of denominators i.e. for 972,467 is 453924.
Thus, GCF of Fractions is 1/453924.Finally, GCF of Fractions for 9716/972, 1707/467 is 1/453924.