GCF of 93/536, 358/772, 755/295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 93/536, 358/772, 755/295 i.e 1/30517160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/536, 358/772, 755/295.
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 93/536,358/772,755/295?
Given fractions are 93/536,358/772,755/295
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 93/536,358/772,755/295, numerators are 93,358,755
Denominators are 536,772,295
The GCF of 93,358,755 is 1 .
LCM of 536,772,295 is 30517160.
The greatest common factor of 93/536,358/772,755/295 = [GCF of 93,358,755]/[LCM of 536,772,295]= 1/30517160
Therefore, the GCF of 93/536,358/772,755/295 is 1/30517160.
To find the highest common factor of 93,358,755, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 358 are 1, 2, 179, 358
The factors of 755 are 1, 5, 151, 755
The HCF of 93,358,755 is 1.
Lets's calculate GCF of 93,358,755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 93,358,755 By Matching Biggest Common Factor Method
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 755
:1,5,151,755
Greatest Common Factor
We found the factors 93,358,755 . The biggest common factor number is the GCF number.
So the greatest common factor 93,358,755 is 1.
Lets's calculate LCM of 536,772,295
| 2 | 536, 772, 295 |
| 2 | 268, 386, 295 |
| 134, 193, 295 |
∴ So the LCM of the given numbers is 2 x 2 x 134 x 193 x 295 = 30517160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30517160
Therefore, the GCF of Fractions 93/536,358/772,755/295 is 1/30517160
Least Common Multiple of 536,772,295 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 536,772,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,772,295) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(536,772,295) x common factors =1 x 4 = 4
LCM(536,772,295) = ( 536 × 772 × 295 ) / 4
LCM(536,772,295) = 122068640 / 4
LCM(536,772,295) = 30517160
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FAQs on GCF of Fractions of 93/536, 358/772, 755/295
1. What is the HCF of 93,358,755?
The HCF of 93,358,755 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 93/536, 358/772, 755/295?
Answer: GCF of Numerators as per given numbers 93/536, 358/772, 755/295 is
GCF of Numerators i.e. for 93,358,755 is 1
LCM of denominators i.e. for 536,772,295 is 30517160.
Thus, GCF of Fractions is 1/30517160.Finally, GCF of Fractions for 93/536, 358/772, 755/295 is 1/30517160.