GCF of 781/711, 856/205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 781/711, 856/205 i.e 1/145755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 781/711, 856/205.
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 781/711,856/205?
Given fractions are 781/711,856/205
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 781/711,856/205, numerators are 781,856
Denominators are 711,205
The GCF of 781,856 is 1 .
LCM of 711,205 is 145755.
The greatest common factor of 781/711,856/205 = [GCF of 781,856]/[LCM of 711,205]= 1/145755
Therefore, the GCF of 781/711,856/205 is 1/145755.
To find the highest common factor of 781,856, we have to find the factors of both numbers and list the highest common factor.
The factors of 781 are 1, 11, 71, 781
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The HCF of 781,856 is 1.
Lets's calculate GCF of 781,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 781,856 By Matching Biggest Common Factor Method
Now, list down the factors of 781
:1,11,71,781
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 781,856 . The biggest common factor number is the GCF number.
So the greatest common factor 781,856 is 1.
Lets's calculate LCM of 711,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 145755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145755
Therefore, the GCF of Fractions 781/711,856/205 is 1/145755
Least Common Multiple of 711,205 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 711,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,205) x common factors =1 x 1 = 1
LCM(711,205) = ( 711 × 205 ) / 1
LCM(711,205) = 145755 / 1
LCM(711,205) = 145755
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FAQs on GCF of Fractions of 781/711, 856/205
1. What is the HCF of 781,856?
The HCF of 781,856 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 781/711, 856/205?
Answer: GCF of Numerators as per given numbers 781/711, 856/205 is
GCF of Numerators i.e. for 781,856 is 1
LCM of denominators i.e. for 711,205 is 145755.
Thus, GCF of Fractions is 1/145755.Finally, GCF of Fractions for 781/711, 856/205 is 1/145755.