GCF of 3435/840, 6967/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3435/840, 6967/823 i.e 1/691320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3435/840, 6967/823.
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 3435/840,6967/823?
Given fractions are 3435/840,6967/823
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 3435/840,6967/823, numerators are 3435,6967
Denominators are 840,823
The GCF of 3435,6967 is 1 .
LCM of 840,823 is 691320.
The greatest common factor of 3435/840,6967/823 = [GCF of 3435,6967]/[LCM of 840,823]= 1/691320
Therefore, the GCF of 3435/840,6967/823 is 1/691320.
To find the highest common factor of 3435,6967, we have to find the factors of both numbers and list the highest common factor.
The factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435
The factors of 6967 are 1, 6967
The HCF of 3435,6967 is 1.
Lets's calculate GCF of 3435,6967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3435,6967 By Matching Biggest Common Factor Method
Now, list down the factors of 3435
:1,3,5,15,229,687,1145,3435
Now, list down the factors of 6967
:1,6967
Greatest Common Factor
We found the factors 3435,6967 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,6967 is 1.
Lets's calculate LCM of 840,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 691320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/691320
Therefore, the GCF of Fractions 3435/840,6967/823 is 1/691320
Least Common Multiple of 840,823 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 840,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(840,823) x common factors =1 x 1 = 1
LCM(840,823) = ( 840 × 823 ) / 1
LCM(840,823) = 691320 / 1
LCM(840,823) = 691320
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FAQs on GCF of Fractions of 3435/840, 6967/823
1. What is the HCF of 3435,6967?
The HCF of 3435,6967 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 3435/840, 6967/823?
Answer: GCF of Numerators as per given numbers 3435/840, 6967/823 is
GCF of Numerators i.e. for 3435,6967 is 1
LCM of denominators i.e. for 840,823 is 691320.
Thus, GCF of Fractions is 1/691320.Finally, GCF of Fractions for 3435/840, 6967/823 is 1/691320.