GCF of 6765/997, 5470/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6765/997, 5470/164 i.e 5/163508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6765/997, 5470/164.
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 6765/997,5470/164?
Given fractions are 6765/997,5470/164
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 6765/997,5470/164, numerators are 6765,5470
Denominators are 997,164
The GCF of 6765,5470 is 5 .
LCM of 997,164 is 163508.
The greatest common factor of 6765/997,5470/164 = [GCF of 6765,5470]/[LCM of 997,164]= 5/163508
Therefore, the GCF of 6765/997,5470/164 is 5/163508.
To find the highest common factor of 6765,5470, we have to find the factors of both numbers and list the highest common factor.
The factors of 6765 are 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765
The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470
The HCF of 6765,5470 is 5.
Lets's calculate GCF of 6765,5470
| 5 | 6765, 5470 |
| 1353, 1094 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6765,5470 By Matching Biggest Common Factor Method
Now, list down the factors of 6765
:1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765
Now, list down the factors of 5470
:1,2,5,10,547,1094,2735,5470
Greatest Common Factor
We found the factors 6765,5470 . The biggest common factor number is the GCF number.
So the greatest common factor 6765,5470 is 5.
Lets's calculate LCM of 997,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 163508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/163508
Therefore, the GCF of Fractions 6765/997,5470/164 is 5/163508
Least Common Multiple of 997,164 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 997,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,164) x common factors =1 x 1 = 1
LCM(997,164) = ( 997 × 164 ) / 1
LCM(997,164) = 163508 / 1
LCM(997,164) = 163508
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FAQs on GCF of Fractions of 6765/997, 5470/164
1. What is the HCF of 6765,5470?
The HCF of 6765,5470 is 5
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 6765/997, 5470/164?
Answer: GCF of Numerators as per given numbers 6765/997, 5470/164 is
GCF of Numerators i.e. for 6765,5470 is 5
LCM of denominators i.e. for 997,164 is 163508.
Thus, GCF of Fractions is 5/163508.Finally, GCF of Fractions for 6765/997, 5470/164 is 5/163508.