GCF of 2354/683, 1370/3705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2354/683, 1370/3705 i.e 2/2530515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2354/683, 1370/3705.
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 2354/683,1370/3705?
Given fractions are 2354/683,1370/3705
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 2354/683,1370/3705, numerators are 2354,1370
Denominators are 683,3705
The GCF of 2354,1370 is 2 .
LCM of 683,3705 is 2530515.
The greatest common factor of 2354/683,1370/3705 = [GCF of 2354,1370]/[LCM of 683,3705]= 2/2530515
Therefore, the GCF of 2354/683,1370/3705 is 2/2530515.
To find the highest common factor of 2354,1370, we have to find the factors of both numbers and list the highest common factor.
The factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354
The factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370
The HCF of 2354,1370 is 2.
Lets's calculate GCF of 2354,1370
| 2 | 2354, 1370 |
| 1177, 685 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2354,1370 By Matching Biggest Common Factor Method
Now, list down the factors of 2354
:1,2,11,22,107,214,1177,2354
Now, list down the factors of 1370
:1,2,5,10,137,274,685,1370
Greatest Common Factor
We found the factors 2354,1370 . The biggest common factor number is the GCF number.
So the greatest common factor 2354,1370 is 2.
Lets's calculate LCM of 683,3705
Given numbers has no common factors except 1. So, there LCM is their product i.e 2530515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2530515
Therefore, the GCF of Fractions 2354/683,1370/3705 is 2/2530515
Least Common Multiple of 683,3705 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 683,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,3705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,3705) x common factors =1 x 1 = 1
LCM(683,3705) = ( 683 × 3705 ) / 1
LCM(683,3705) = 2530515 / 1
LCM(683,3705) = 2530515
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FAQs on GCF of Fractions of 2354/683, 1370/3705
1. What is the HCF of 2354,1370?
The HCF of 2354,1370 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 2354/683, 1370/3705?
Answer: GCF of Numerators as per given numbers 2354/683, 1370/3705 is
GCF of Numerators i.e. for 2354,1370 is 2
LCM of denominators i.e. for 683,3705 is 2530515.
Thus, GCF of Fractions is 2/2530515.Finally, GCF of Fractions for 2354/683, 1370/3705 is 2/2530515.