GCF of 1067/866, 7205/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1067/866, 7205/409 i.e 11/354194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1067/866, 7205/409.
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 1067/866,7205/409?
Given fractions are 1067/866,7205/409
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 1067/866,7205/409, numerators are 1067,7205
Denominators are 866,409
The GCF of 1067,7205 is 11 .
LCM of 866,409 is 354194.
The greatest common factor of 1067/866,7205/409 = [GCF of 1067,7205]/[LCM of 866,409]= 11/354194
Therefore, the GCF of 1067/866,7205/409 is 11/354194.
To find the highest common factor of 1067,7205, we have to find the factors of both numbers and list the highest common factor.
The factors of 1067 are 1, 11, 97, 1067
The factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205
The HCF of 1067,7205 is 11.
Lets's calculate GCF of 1067,7205
| 11 | 1067, 7205 |
| 97, 655 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1067,7205 By Matching Biggest Common Factor Method
Now, list down the factors of 1067
:1,11,97,1067
Now, list down the factors of 7205
:1,5,11,55,131,655,1441,7205
Greatest Common Factor
We found the factors 1067,7205 . The biggest common factor number is the GCF number.
So the greatest common factor 1067,7205 is 11.
Lets's calculate LCM of 866,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 354194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/354194
Therefore, the GCF of Fractions 1067/866,7205/409 is 11/354194
Least Common Multiple of 866,409 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 866,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,409) x common factors =1 x 1 = 1
LCM(866,409) = ( 866 × 409 ) / 1
LCM(866,409) = 354194 / 1
LCM(866,409) = 354194
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FAQs on GCF of Fractions of 1067/866, 7205/409
1. What is the HCF of 1067,7205?
The HCF of 1067,7205 is 11
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 1067/866, 7205/409?
Answer: GCF of Numerators as per given numbers 1067/866, 7205/409 is
GCF of Numerators i.e. for 1067,7205 is 11
LCM of denominators i.e. for 866,409 is 354194.
Thus, GCF of Fractions is 11/354194.Finally, GCF of Fractions for 1067/866, 7205/409 is 11/354194.