GCF of 876/176, 786/845, 969/177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/176, 786/845, 969/177 i.e 3/26323440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/176, 786/845, 969/177.
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 876/176,786/845,969/177?
Given fractions are 876/176,786/845,969/177
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 876/176,786/845,969/177, numerators are 876,786,969
Denominators are 176,845,177
The GCF of 876,786,969 is 3 .
LCM of 176,845,177 is 26323440.
The greatest common factor of 876/176,786/845,969/177 = [GCF of 876,786,969]/[LCM of 176,845,177]= 3/26323440
Therefore, the GCF of 876/176,786/845,969/177 is 3/26323440.
To find the highest common factor of 876,786,969, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The HCF of 876,786,969 is 3.
Lets's calculate GCF of 876,786,969
| 3 | 876, 786, 969 |
| 292, 262, 323 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 876,786,969 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 876,786,969 . The biggest common factor number is the GCF number.
So the greatest common factor 876,786,969 is 3.
Lets's calculate LCM of 176,845,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 26323440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26323440
Therefore, the GCF of Fractions 876/176,786/845,969/177 is 3/26323440
Least Common Multiple of 176,845,177 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 176,845,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,845,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,845,177) x common factors =1 x 1 = 1
LCM(176,845,177) = ( 176 × 845 × 177 ) / 1
LCM(176,845,177) = 26323440 / 1
LCM(176,845,177) = 26323440
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 876/176, 786/845, 969/177
1. What is the HCF of 876,786,969?
The HCF of 876,786,969 is 3
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 876/176, 786/845, 969/177?
Answer: GCF of Numerators as per given numbers 876/176, 786/845, 969/177 is
GCF of Numerators i.e. for 876,786,969 is 3
LCM of denominators i.e. for 176,845,177 is 26323440.
Thus, GCF of Fractions is 3/26323440.Finally, GCF of Fractions for 876/176, 786/845, 969/177 is 3/26323440.