GCF of 934/93, 176/8757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 934/93, 176/8757 i.e 2/271467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/93, 176/8757.
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 934/93,176/8757?
Given fractions are 934/93,176/8757
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 934/93,176/8757, numerators are 934,176
Denominators are 93,8757
The GCF of 934,176 is 2 .
LCM of 93,8757 is 271467.
The greatest common factor of 934/93,176/8757 = [GCF of 934,176]/[LCM of 93,8757]= 2/271467
Therefore, the GCF of 934/93,176/8757 is 2/271467.
To find the highest common factor of 934,176, we have to find the factors of both numbers and list the highest common factor.
The factors of 934 are 1, 2, 467, 934
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The HCF of 934,176 is 2.
Lets's calculate GCF of 934,176
| 2 | 934, 176 |
| 467, 88 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 934,176 By Matching Biggest Common Factor Method
Now, list down the factors of 934
:1,2,467,934
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 934,176 . The biggest common factor number is the GCF number.
So the greatest common factor 934,176 is 2.
Lets's calculate LCM of 93,8757
| 3 | 93, 8757 |
| 31, 2919 |
∴ So the LCM of the given numbers is 3 x 31 x 2919 = 271467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/271467
Therefore, the GCF of Fractions 934/93,176/8757 is 2/271467
Least Common Multiple of 93,8757 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 93,8757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,8757) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,8757) x common factors =3 x 1 = 3
LCM(93,8757) = ( 93 × 8757 ) / 3
LCM(93,8757) = 814401 / 3
LCM(93,8757) = 271467
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FAQs on GCF of Fractions of 934/93, 176/8757
1. What is the HCF of 934,176?
The HCF of 934,176 is 2
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 934/93, 176/8757?
Answer: GCF of Numerators as per given numbers 934/93, 176/8757 is
GCF of Numerators i.e. for 934,176 is 2
LCM of denominators i.e. for 93,8757 is 271467.
Thus, GCF of Fractions is 2/271467.Finally, GCF of Fractions for 934/93, 176/8757 is 2/271467.