GCF of 907/57, 166/3486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 907/57, 166/3486 i.e 1/66234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 907/57, 166/3486.
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 907/57,166/3486?
Given fractions are 907/57,166/3486
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 907/57,166/3486, numerators are 907,166
Denominators are 57,3486
The GCF of 907,166 is 1 .
LCM of 57,3486 is 66234.
The greatest common factor of 907/57,166/3486 = [GCF of 907,166]/[LCM of 57,3486]= 1/66234
Therefore, the GCF of 907/57,166/3486 is 1/66234.
To find the highest common factor of 907,166, we have to find the factors of both numbers and list the highest common factor.
The factors of 907 are 1, 907
The factors of 166 are 1, 2, 83, 166
The HCF of 907,166 is 1.
Lets's calculate GCF of 907,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 907,166 By Matching Biggest Common Factor Method
Now, list down the factors of 907
:1,907
Now, list down the factors of 166
:1,2,83,166
Greatest Common Factor
We found the factors 907,166 . The biggest common factor number is the GCF number.
So the greatest common factor 907,166 is 1.
Lets's calculate LCM of 57,3486
| 3 | 57, 3486 |
| 19, 1162 |
∴ So the LCM of the given numbers is 3 x 19 x 1162 = 66234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66234
Therefore, the GCF of Fractions 907/57,166/3486 is 1/66234
Least Common Multiple of 57,3486 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 57,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,3486) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,3486) x common factors =3 x 1 = 3
LCM(57,3486) = ( 57 × 3486 ) / 3
LCM(57,3486) = 198702 / 3
LCM(57,3486) = 66234
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FAQs on GCF of Fractions of 907/57, 166/3486
1. What is the HCF of 907,166?
The HCF of 907,166 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 907/57, 166/3486?
Answer: GCF of Numerators as per given numbers 907/57, 166/3486 is
GCF of Numerators i.e. for 907,166 is 1
LCM of denominators i.e. for 57,3486 is 66234.
Thus, GCF of Fractions is 1/66234.Finally, GCF of Fractions for 907/57, 166/3486 is 1/66234.