GCF of 878/238, 696/186, 957/293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 878/238, 696/186, 957/293 i.e 1/6485262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/238, 696/186, 957/293.
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 878/238,696/186,957/293?
Given fractions are 878/238,696/186,957/293
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 878/238,696/186,957/293, numerators are 878,696,957
Denominators are 238,186,293
The GCF of 878,696,957 is 1 .
LCM of 238,186,293 is 6485262.
The greatest common factor of 878/238,696/186,957/293 = [GCF of 878,696,957]/[LCM of 238,186,293]= 1/6485262
Therefore, the GCF of 878/238,696/186,957/293 is 1/6485262.
To find the highest common factor of 878,696,957, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The HCF of 878,696,957 is 1.
Lets's calculate GCF of 878,696,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 878,696,957 By Matching Biggest Common Factor Method
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 878,696,957 . The biggest common factor number is the GCF number.
So the greatest common factor 878,696,957 is 1.
Lets's calculate LCM of 238,186,293
| 2 | 238, 186, 293 |
| 119, 93, 293 |
∴ So the LCM of the given numbers is 2 x 119 x 93 x 293 = 6485262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6485262
Therefore, the GCF of Fractions 878/238,696/186,957/293 is 1/6485262
Least Common Multiple of 238,186,293 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 238,186,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,186,293) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(238,186,293) x common factors =1 x 2 = 2
LCM(238,186,293) = ( 238 × 186 × 293 ) / 2
LCM(238,186,293) = 12970524 / 2
LCM(238,186,293) = 6485262
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FAQs on GCF of Fractions of 878/238, 696/186, 957/293
1. What is the HCF of 878,696,957?
The HCF of 878,696,957 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 878/238, 696/186, 957/293?
Answer: GCF of Numerators as per given numbers 878/238, 696/186, 957/293 is
GCF of Numerators i.e. for 878,696,957 is 1
LCM of denominators i.e. for 238,186,293 is 6485262.
Thus, GCF of Fractions is 1/6485262.Finally, GCF of Fractions for 878/238, 696/186, 957/293 is 1/6485262.