GCF of 1406/765, 1147/3268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1406/765, 1147/3268 i.e 37/2500020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1406/765, 1147/3268.
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 1406/765,1147/3268?
Given fractions are 1406/765,1147/3268
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 1406/765,1147/3268, numerators are 1406,1147
Denominators are 765,3268
The GCF of 1406,1147 is 37 .
LCM of 765,3268 is 2500020.
The greatest common factor of 1406/765,1147/3268 = [GCF of 1406,1147]/[LCM of 765,3268]= 37/2500020
Therefore, the GCF of 1406/765,1147/3268 is 37/2500020.
To find the highest common factor of 1406,1147, we have to find the factors of both numbers and list the highest common factor.
The factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406
The factors of 1147 are 1, 31, 37, 1147
The HCF of 1406,1147 is 37.
Lets's calculate GCF of 1406,1147
| 37 | 1406, 1147 |
| 38, 31 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 1406,1147 By Matching Biggest Common Factor Method
Now, list down the factors of 1406
:1,2,19,37,38,74,703,1406
Now, list down the factors of 1147
:1,31,37,1147
Greatest Common Factor
We found the factors 1406,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 1406,1147 is 37.
Lets's calculate LCM of 765,3268
Given numbers has no common factors except 1. So, there LCM is their product i.e 2500020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/2500020
Therefore, the GCF of Fractions 1406/765,1147/3268 is 37/2500020
Least Common Multiple of 765,3268 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 765,3268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,3268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,3268) x common factors =1 x 1 = 1
LCM(765,3268) = ( 765 × 3268 ) / 1
LCM(765,3268) = 2500020 / 1
LCM(765,3268) = 2500020
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FAQs on GCF of Fractions of 1406/765, 1147/3268
1. What is the HCF of 1406,1147?
The HCF of 1406,1147 is 37
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 1406/765, 1147/3268?
Answer: GCF of Numerators as per given numbers 1406/765, 1147/3268 is
GCF of Numerators i.e. for 1406,1147 is 37
LCM of denominators i.e. for 765,3268 is 2500020.
Thus, GCF of Fractions is 37/2500020.Finally, GCF of Fractions for 1406/765, 1147/3268 is 37/2500020.