GCF of 1735/638, 8900/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1735/638, 8900/523 i.e 5/333674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1735/638, 8900/523.
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 1735/638,8900/523?
Given fractions are 1735/638,8900/523
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 1735/638,8900/523, numerators are 1735,8900
Denominators are 638,523
The GCF of 1735,8900 is 5 .
LCM of 638,523 is 333674.
The greatest common factor of 1735/638,8900/523 = [GCF of 1735,8900]/[LCM of 638,523]= 5/333674
Therefore, the GCF of 1735/638,8900/523 is 5/333674.
To find the highest common factor of 1735,8900, we have to find the factors of both numbers and list the highest common factor.
The factors of 1735 are 1, 5, 347, 1735
The factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900
The HCF of 1735,8900 is 5.
Lets's calculate GCF of 1735,8900
| 5 | 1735, 8900 |
| 347, 1780 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1735,8900 By Matching Biggest Common Factor Method
Now, list down the factors of 1735
:1,5,347,1735
Now, list down the factors of 8900
:1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900
Greatest Common Factor
We found the factors 1735,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 1735,8900 is 5.
Lets's calculate LCM of 638,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 333674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/333674
Therefore, the GCF of Fractions 1735/638,8900/523 is 5/333674
Least Common Multiple of 638,523 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 638,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,523) x common factors =1 x 1 = 1
LCM(638,523) = ( 638 × 523 ) / 1
LCM(638,523) = 333674 / 1
LCM(638,523) = 333674
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FAQs on GCF of Fractions of 1735/638, 8900/523
1. What is the HCF of 1735,8900?
The HCF of 1735,8900 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 1735/638, 8900/523?
Answer: GCF of Numerators as per given numbers 1735/638, 8900/523 is
GCF of Numerators i.e. for 1735,8900 is 5
LCM of denominators i.e. for 638,523 is 333674.
Thus, GCF of Fractions is 5/333674.Finally, GCF of Fractions for 1735/638, 8900/523 is 5/333674.