GCF of 674/885, 720/676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/885, 720/676 i.e 2/598260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/885, 720/676.
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 674/885,720/676?
Given fractions are 674/885,720/676
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 674/885,720/676, numerators are 674,720
Denominators are 885,676
The GCF of 674,720 is 2 .
LCM of 885,676 is 598260.
The greatest common factor of 674/885,720/676 = [GCF of 674,720]/[LCM of 885,676]= 2/598260
Therefore, the GCF of 674/885,720/676 is 2/598260.
To find the highest common factor of 674,720, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The HCF of 674,720 is 2.
Lets's calculate GCF of 674,720
| 2 | 674, 720 |
| 337, 360 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 674,720 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 674,720 . The biggest common factor number is the GCF number.
So the greatest common factor 674,720 is 2.
Lets's calculate LCM of 885,676
Given numbers has no common factors except 1. So, there LCM is their product i.e 598260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/598260
Therefore, the GCF of Fractions 674/885,720/676 is 2/598260
Least Common Multiple of 885,676 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 885,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(885,676) x common factors =1 x 1 = 1
LCM(885,676) = ( 885 × 676 ) / 1
LCM(885,676) = 598260 / 1
LCM(885,676) = 598260
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FAQs on GCF of Fractions of 674/885, 720/676
1. What is the HCF of 674,720?
The HCF of 674,720 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 674/885, 720/676?
Answer: GCF of Numerators as per given numbers 674/885, 720/676 is
GCF of Numerators i.e. for 674,720 is 2
LCM of denominators i.e. for 885,676 is 598260.
Thus, GCF of Fractions is 2/598260.Finally, GCF of Fractions for 674/885, 720/676 is 2/598260.