GCF of 707/27, 909/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 707/27, 909/779 i.e 101/21033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/27, 909/779.
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 707/27,909/779?
Given fractions are 707/27,909/779
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 707/27,909/779, numerators are 707,909
Denominators are 27,779
The GCF of 707,909 is 101 .
LCM of 27,779 is 21033.
The greatest common factor of 707/27,909/779 = [GCF of 707,909]/[LCM of 27,779]= 101/21033
Therefore, the GCF of 707/27,909/779 is 101/21033.
To find the highest common factor of 707,909, we have to find the factors of both numbers and list the highest common factor.
The factors of 707 are 1, 7, 101, 707
The factors of 909 are 1, 3, 9, 101, 303, 909
The HCF of 707,909 is 101.
Lets's calculate GCF of 707,909
| 101 | 707, 909 |
| 7, 9 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 707,909 By Matching Biggest Common Factor Method
Now, list down the factors of 707
:1,7,101,707
Now, list down the factors of 909
:1,3,9,101,303,909
Greatest Common Factor
We found the factors 707,909 . The biggest common factor number is the GCF number.
So the greatest common factor 707,909 is 101.
Lets's calculate LCM of 27,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 21033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/21033
Therefore, the GCF of Fractions 707/27,909/779 is 101/21033
Least Common Multiple of 27,779 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 27,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,779) x common factors =1 x 1 = 1
LCM(27,779) = ( 27 × 779 ) / 1
LCM(27,779) = 21033 / 1
LCM(27,779) = 21033
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FAQs on GCF of Fractions of 707/27, 909/779
1. What is the HCF of 707,909?
The HCF of 707,909 is 101
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 707/27, 909/779?
Answer: GCF of Numerators as per given numbers 707/27, 909/779 is
GCF of Numerators i.e. for 707,909 is 101
LCM of denominators i.e. for 27,779 is 21033.
Thus, GCF of Fractions is 101/21033.Finally, GCF of Fractions for 707/27, 909/779 is 101/21033.