GCF of 95/65, 771/78, 209/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/65, 771/78, 209/916 i.e 1/178620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/65, 771/78, 209/916.
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 95/65,771/78,209/916?
Given fractions are 95/65,771/78,209/916
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 95/65,771/78,209/916, numerators are 95,771,209
Denominators are 65,78,916
The GCF of 95,771,209 is 1 .
LCM of 65,78,916 is 178620.
The greatest common factor of 95/65,771/78,209/916 = [GCF of 95,771,209]/[LCM of 65,78,916]= 1/178620
Therefore, the GCF of 95/65,771/78,209/916 is 1/178620.
To find the highest common factor of 95,771,209, 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 771 are 1, 3, 257, 771
The factors of 209 are 1, 11, 19, 209
The HCF of 95,771,209 is 1.
Lets's calculate GCF of 95,771,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,771,209 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 771
:1,3,257,771
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 95,771,209 . The biggest common factor number is the GCF number.
So the greatest common factor 95,771,209 is 1.
Lets's calculate LCM of 65,78,916
| 2 | 65, 78, 916 |
| 13 | 65, 39, 458 |
| 5, 3, 458 |
∴ So the LCM of the given numbers is 2 x 13 x 5 x 3 x 458 = 178620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178620
Therefore, the GCF of Fractions 95/65,771/78,209/916 is 1/178620
Least Common Multiple of 65,78,916 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 65,78,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,78,916) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(65,78,916) x common factors =1 x 26 = 26
LCM(65,78,916) = ( 65 × 78 × 916 ) / 26
LCM(65,78,916) = 4644120 / 26
LCM(65,78,916) = 178620
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FAQs on GCF of Fractions of 95/65, 771/78, 209/916
1. What is the HCF of 95,771,209?
The HCF of 95,771,209 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 95/65, 771/78, 209/916?
Answer: GCF of Numerators as per given numbers 95/65, 771/78, 209/916 is
GCF of Numerators i.e. for 95,771,209 is 1
LCM of denominators i.e. for 65,78,916 is 178620.
Thus, GCF of Fractions is 1/178620.Finally, GCF of Fractions for 95/65, 771/78, 209/916 is 1/178620.