GCF of 4596/685, 7646/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4596/685, 7646/814 i.e 2/557590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4596/685, 7646/814.
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 4596/685,7646/814?
Given fractions are 4596/685,7646/814
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 4596/685,7646/814, numerators are 4596,7646
Denominators are 685,814
The GCF of 4596,7646 is 2 .
LCM of 685,814 is 557590.
The greatest common factor of 4596/685,7646/814 = [GCF of 4596,7646]/[LCM of 685,814]= 2/557590
Therefore, the GCF of 4596/685,7646/814 is 2/557590.
To find the highest common factor of 4596,7646, we have to find the factors of both numbers and list the highest common factor.
The factors of 4596 are 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596
The factors of 7646 are 1, 2, 3823, 7646
The HCF of 4596,7646 is 2.
Lets's calculate GCF of 4596,7646
| 2 | 4596, 7646 |
| 2298, 3823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4596,7646 By Matching Biggest Common Factor Method
Now, list down the factors of 4596
:1,2,3,4,6,12,383,766,1149,1532,2298,4596
Now, list down the factors of 7646
:1,2,3823,7646
Greatest Common Factor
We found the factors 4596,7646 . The biggest common factor number is the GCF number.
So the greatest common factor 4596,7646 is 2.
Lets's calculate LCM of 685,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 557590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/557590
Therefore, the GCF of Fractions 4596/685,7646/814 is 2/557590
Least Common Multiple of 685,814 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 685,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,814) x common factors =1 x 1 = 1
LCM(685,814) = ( 685 × 814 ) / 1
LCM(685,814) = 557590 / 1
LCM(685,814) = 557590
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FAQs on GCF of Fractions of 4596/685, 7646/814
1. What is the HCF of 4596,7646?
The HCF of 4596,7646 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 4596/685, 7646/814?
Answer: GCF of Numerators as per given numbers 4596/685, 7646/814 is
GCF of Numerators i.e. for 4596,7646 is 2
LCM of denominators i.e. for 685,814 is 557590.
Thus, GCF of Fractions is 2/557590.Finally, GCF of Fractions for 4596/685, 7646/814 is 2/557590.