GCF of 7660/178, 2785/7254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7660/178, 2785/7254 i.e 5/645606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7660/178, 2785/7254.
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 7660/178,2785/7254?
Given fractions are 7660/178,2785/7254
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 7660/178,2785/7254, numerators are 7660,2785
Denominators are 178,7254
The GCF of 7660,2785 is 5 .
LCM of 178,7254 is 645606.
The greatest common factor of 7660/178,2785/7254 = [GCF of 7660,2785]/[LCM of 178,7254]= 5/645606
Therefore, the GCF of 7660/178,2785/7254 is 5/645606.
To find the highest common factor of 7660,2785, we have to find the factors of both numbers and list the highest common factor.
The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660
The factors of 2785 are 1, 5, 557, 2785
The HCF of 7660,2785 is 5.
Lets's calculate GCF of 7660,2785
| 5 | 7660, 2785 |
| 1532, 557 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7660,2785 By Matching Biggest Common Factor Method
Now, list down the factors of 7660
:1,2,4,5,10,20,383,766,1532,1915,3830,7660
Now, list down the factors of 2785
:1,5,557,2785
Greatest Common Factor
We found the factors 7660,2785 . The biggest common factor number is the GCF number.
So the greatest common factor 7660,2785 is 5.
Lets's calculate LCM of 178,7254
| 2 | 178, 7254 |
| 89, 3627 |
∴ So the LCM of the given numbers is 2 x 89 x 3627 = 645606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/645606
Therefore, the GCF of Fractions 7660/178,2785/7254 is 5/645606
Least Common Multiple of 178,7254 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 178,7254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,7254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,7254) x common factors =2 x 1 = 2
LCM(178,7254) = ( 178 × 7254 ) / 2
LCM(178,7254) = 1291212 / 2
LCM(178,7254) = 645606
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FAQs on GCF of Fractions of 7660/178, 2785/7254
1. What is the HCF of 7660,2785?
The HCF of 7660,2785 is 5
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 7660/178, 2785/7254?
Answer: GCF of Numerators as per given numbers 7660/178, 2785/7254 is
GCF of Numerators i.e. for 7660,2785 is 5
LCM of denominators i.e. for 178,7254 is 645606.
Thus, GCF of Fractions is 5/645606.Finally, GCF of Fractions for 7660/178, 2785/7254 is 5/645606.