GCF of 1163/902, 6942/6655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1163/902, 6942/6655 i.e 1/545710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1163/902, 6942/6655.
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 1163/902,6942/6655?
Given fractions are 1163/902,6942/6655
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 1163/902,6942/6655, numerators are 1163,6942
Denominators are 902,6655
The GCF of 1163,6942 is 1 .
LCM of 902,6655 is 545710.
The greatest common factor of 1163/902,6942/6655 = [GCF of 1163,6942]/[LCM of 902,6655]= 1/545710
Therefore, the GCF of 1163/902,6942/6655 is 1/545710.
To find the highest common factor of 1163,6942, we have to find the factors of both numbers and list the highest common factor.
The factors of 1163 are 1, 1163
The factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942
The HCF of 1163,6942 is 1.
Lets's calculate GCF of 1163,6942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1163,6942 By Matching Biggest Common Factor Method
Now, list down the factors of 1163
:1,1163
Now, list down the factors of 6942
:1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Greatest Common Factor
We found the factors 1163,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 1163,6942 is 1.
Lets's calculate LCM of 902,6655
| 11 | 902, 6655 |
| 82, 605 |
∴ So the LCM of the given numbers is 11 x 82 x 605 = 545710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545710
Therefore, the GCF of Fractions 1163/902,6942/6655 is 1/545710
Least Common Multiple of 902,6655 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 902,6655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,6655) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(902,6655) x common factors =11 x 1 = 11
LCM(902,6655) = ( 902 × 6655 ) / 11
LCM(902,6655) = 6002810 / 11
LCM(902,6655) = 545710
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FAQs on GCF of Fractions of 1163/902, 6942/6655
1. What is the HCF of 1163,6942?
The HCF of 1163,6942 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 1163/902, 6942/6655?
Answer: GCF of Numerators as per given numbers 1163/902, 6942/6655 is
GCF of Numerators i.e. for 1163,6942 is 1
LCM of denominators i.e. for 902,6655 is 545710.
Thus, GCF of Fractions is 1/545710.Finally, GCF of Fractions for 1163/902, 6942/6655 is 1/545710.