GCF of 835/205, 407/595, 688/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 835/205, 407/595, 688/420 i.e 1/292740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/205, 407/595, 688/420.
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 835/205,407/595,688/420?
Given fractions are 835/205,407/595,688/420
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 835/205,407/595,688/420, numerators are 835,407,688
Denominators are 205,595,420
The GCF of 835,407,688 is 1 .
LCM of 205,595,420 is 292740.
The greatest common factor of 835/205,407/595,688/420 = [GCF of 835,407,688]/[LCM of 205,595,420]= 1/292740
Therefore, the GCF of 835/205,407/595,688/420 is 1/292740.
To find the highest common factor of 835,407,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 407 are 1, 11, 37, 407
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 835,407,688 is 1.
Lets's calculate GCF of 835,407,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 835,407,688 By Matching Biggest Common Factor Method
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 407
:1,11,37,407
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 835,407,688 . The biggest common factor number is the GCF number.
So the greatest common factor 835,407,688 is 1.
Lets's calculate LCM of 205,595,420
| 5 | 205, 595, 420 |
| 7 | 41, 119, 84 |
| 41, 17, 12 |
∴ So the LCM of the given numbers is 5 x 7 x 41 x 17 x 12 = 292740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292740
Therefore, the GCF of Fractions 835/205,407/595,688/420 is 1/292740
Least Common Multiple of 205,595,420 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 205,595,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,595,420) = 5
common factors(in case of two or more numbers have common factors) = 35
GCF(205,595,420) x common factors =5 x 35 = 175
LCM(205,595,420) = ( 205 × 595 × 420 ) / 175
LCM(205,595,420) = 51229500 / 175
LCM(205,595,420) = 292740
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FAQs on GCF of Fractions of 835/205, 407/595, 688/420
1. What is the HCF of 835,407,688?
The HCF of 835,407,688 is 1
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 835/205, 407/595, 688/420?
Answer: GCF of Numerators as per given numbers 835/205, 407/595, 688/420 is
GCF of Numerators i.e. for 835,407,688 is 1
LCM of denominators i.e. for 205,595,420 is 292740.
Thus, GCF of Fractions is 1/292740.Finally, GCF of Fractions for 835/205, 407/595, 688/420 is 1/292740.