GCF of 8791/174, 8765/3450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8791/174, 8765/3450 i.e 1/100050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8791/174, 8765/3450.
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 8791/174,8765/3450?
Given fractions are 8791/174,8765/3450
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 8791/174,8765/3450, numerators are 8791,8765
Denominators are 174,3450
The GCF of 8791,8765 is 1 .
LCM of 174,3450 is 100050.
The greatest common factor of 8791/174,8765/3450 = [GCF of 8791,8765]/[LCM of 174,3450]= 1/100050
Therefore, the GCF of 8791/174,8765/3450 is 1/100050.
To find the highest common factor of 8791,8765, we have to find the factors of both numbers and list the highest common factor.
The factors of 8791 are 1, 59, 149, 8791
The factors of 8765 are 1, 5, 1753, 8765
The HCF of 8791,8765 is 1.
Lets's calculate GCF of 8791,8765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8791,8765 By Matching Biggest Common Factor Method
Now, list down the factors of 8791
:1,59,149,8791
Now, list down the factors of 8765
:1,5,1753,8765
Greatest Common Factor
We found the factors 8791,8765 . The biggest common factor number is the GCF number.
So the greatest common factor 8791,8765 is 1.
Lets's calculate LCM of 174,3450
| 2 | 174, 3450 |
| 3 | 87, 1725 |
| 29, 575 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 575 = 100050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100050
Therefore, the GCF of Fractions 8791/174,8765/3450 is 1/100050
Least Common Multiple of 174,3450 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 174,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,3450) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,3450) x common factors =6 x 1 = 6
LCM(174,3450) = ( 174 × 3450 ) / 6
LCM(174,3450) = 600300 / 6
LCM(174,3450) = 100050
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FAQs on GCF of Fractions of 8791/174, 8765/3450
1. What is the HCF of 8791,8765?
The HCF of 8791,8765 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 8791/174, 8765/3450?
Answer: GCF of Numerators as per given numbers 8791/174, 8765/3450 is
GCF of Numerators i.e. for 8791,8765 is 1
LCM of denominators i.e. for 174,3450 is 100050.
Thus, GCF of Fractions is 1/100050.Finally, GCF of Fractions for 8791/174, 8765/3450 is 1/100050.