GCF of 94/945, 168/774, 917/972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/945, 168/774, 917/972 i.e 1/1462860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/945, 168/774, 917/972.
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 94/945,168/774,917/972?
Given fractions are 94/945,168/774,917/972
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 94/945,168/774,917/972, numerators are 94,168,917
Denominators are 945,774,972
The GCF of 94,168,917 is 1 .
LCM of 945,774,972 is 1462860.
The greatest common factor of 94/945,168/774,917/972 = [GCF of 94,168,917]/[LCM of 945,774,972]= 1/1462860
Therefore, the GCF of 94/945,168/774,917/972 is 1/1462860.
To find the highest common factor of 94,168,917, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 917 are 1, 7, 131, 917
The HCF of 94,168,917 is 1.
Lets's calculate GCF of 94,168,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 94,168,917 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 94,168,917 . The biggest common factor number is the GCF number.
So the greatest common factor 94,168,917 is 1.
Lets's calculate LCM of 945,774,972
| 2 | 945, 774, 972 |
| 3 | 945, 387, 486 |
| 3 | 315, 129, 162 |
| 3 | 105, 43, 54 |
| 35, 43, 18 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 35 x 43 x 18 = 1462860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1462860
Therefore, the GCF of Fractions 94/945,168/774,917/972 is 1/1462860
Least Common Multiple of 945,774,972 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 945,774,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,774,972) = 9
common factors(in case of two or more numbers have common factors) = 54
GCF(945,774,972) x common factors =9 x 54 = 486
LCM(945,774,972) = ( 945 × 774 × 972 ) / 486
LCM(945,774,972) = 710949960 / 486
LCM(945,774,972) = 1462860
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FAQs on GCF of Fractions of 94/945, 168/774, 917/972
1. What is the HCF of 94,168,917?
The HCF of 94,168,917 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 94/945, 168/774, 917/972?
Answer: GCF of Numerators as per given numbers 94/945, 168/774, 917/972 is
GCF of Numerators i.e. for 94,168,917 is 1
LCM of denominators i.e. for 945,774,972 is 1462860.
Thus, GCF of Fractions is 1/1462860.Finally, GCF of Fractions for 94/945, 168/774, 917/972 is 1/1462860.