GCF of 776/705, 705/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 776/705, 705/209 i.e 1/147345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/705, 705/209.
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 776/705,705/209?
Given fractions are 776/705,705/209
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 776/705,705/209, numerators are 776,705
Denominators are 705,209
The GCF of 776,705 is 1 .
LCM of 705,209 is 147345.
The greatest common factor of 776/705,705/209 = [GCF of 776,705]/[LCM of 705,209]= 1/147345
Therefore, the GCF of 776/705,705/209 is 1/147345.
To find the highest common factor of 776,705, we have to find the factors of both numbers and list the highest common factor.
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The HCF of 776,705 is 1.
Lets's calculate GCF of 776,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 776,705 By Matching Biggest Common Factor Method
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 776,705 . The biggest common factor number is the GCF number.
So the greatest common factor 776,705 is 1.
Lets's calculate LCM of 705,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 147345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147345
Therefore, the GCF of Fractions 776/705,705/209 is 1/147345
Least Common Multiple of 705,209 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 705,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,209) x common factors =1 x 1 = 1
LCM(705,209) = ( 705 × 209 ) / 1
LCM(705,209) = 147345 / 1
LCM(705,209) = 147345
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FAQs on GCF of Fractions of 776/705, 705/209
1. What is the HCF of 776,705?
The HCF of 776,705 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 776/705, 705/209?
Answer: GCF of Numerators as per given numbers 776/705, 705/209 is
GCF of Numerators i.e. for 776,705 is 1
LCM of denominators i.e. for 705,209 is 147345.
Thus, GCF of Fractions is 1/147345.Finally, GCF of Fractions for 776/705, 705/209 is 1/147345.