GCF of 945/985, 5416/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 945/985, 5416/565 i.e 1/111305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/985, 5416/565.
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 945/985,5416/565?
Given fractions are 945/985,5416/565
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 945/985,5416/565, numerators are 945,5416
Denominators are 985,565
The GCF of 945,5416 is 1 .
LCM of 985,565 is 111305.
The greatest common factor of 945/985,5416/565 = [GCF of 945,5416]/[LCM of 985,565]= 1/111305
Therefore, the GCF of 945/985,5416/565 is 1/111305.
To find the highest common factor of 945,5416, we have to find the factors of both numbers and list the highest common factor.
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416
The HCF of 945,5416 is 1.
Lets's calculate GCF of 945,5416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 945,5416 By Matching Biggest Common Factor Method
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Now, list down the factors of 5416
:1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 945,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 945,5416 is 1.
Lets's calculate LCM of 985,565
| 5 | 985, 565 |
| 197, 113 |
∴ So the LCM of the given numbers is 5 x 197 x 113 = 111305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111305
Therefore, the GCF of Fractions 945/985,5416/565 is 1/111305
Least Common Multiple of 985,565 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 985,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,565) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(985,565) x common factors =5 x 1 = 5
LCM(985,565) = ( 985 × 565 ) / 5
LCM(985,565) = 556525 / 5
LCM(985,565) = 111305
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FAQs on GCF of Fractions of 945/985, 5416/565
1. What is the HCF of 945,5416?
The HCF of 945,5416 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 945/985, 5416/565?
Answer: GCF of Numerators as per given numbers 945/985, 5416/565 is
GCF of Numerators i.e. for 945,5416 is 1
LCM of denominators i.e. for 985,565 is 111305.
Thus, GCF of Fractions is 1/111305.Finally, GCF of Fractions for 945/985, 5416/565 is 1/111305.