GCF of 35/821, 42/778, 551/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/821, 42/778, 551/615 i.e 1/392823870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/821, 42/778, 551/615.
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 35/821,42/778,551/615?
Given fractions are 35/821,42/778,551/615
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 35/821,42/778,551/615, numerators are 35,42,551
Denominators are 821,778,615
The GCF of 35,42,551 is 1 .
LCM of 821,778,615 is 392823870.
The greatest common factor of 35/821,42/778,551/615 = [GCF of 35,42,551]/[LCM of 821,778,615]= 1/392823870
Therefore, the GCF of 35/821,42/778,551/615 is 1/392823870.
To find the highest common factor of 35,42,551, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 551 are 1, 19, 29, 551
The HCF of 35,42,551 is 1.
Lets's calculate GCF of 35,42,551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,42,551 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 551
:1,19,29,551
Greatest Common Factor
We found the factors 35,42,551 . The biggest common factor number is the GCF number.
So the greatest common factor 35,42,551 is 1.
Lets's calculate LCM of 821,778,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 392823870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392823870
Therefore, the GCF of Fractions 35/821,42/778,551/615 is 1/392823870
Least Common Multiple of 821,778,615 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 821,778,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,778,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,778,615) x common factors =1 x 1 = 1
LCM(821,778,615) = ( 821 × 778 × 615 ) / 1
LCM(821,778,615) = 392823870 / 1
LCM(821,778,615) = 392823870
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FAQs on GCF of Fractions of 35/821, 42/778, 551/615
1. What is the HCF of 35,42,551?
The HCF of 35,42,551 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 35/821, 42/778, 551/615?
Answer: GCF of Numerators as per given numbers 35/821, 42/778, 551/615 is
GCF of Numerators i.e. for 35,42,551 is 1
LCM of denominators i.e. for 821,778,615 is 392823870.
Thus, GCF of Fractions is 1/392823870.Finally, GCF of Fractions for 35/821, 42/778, 551/615 is 1/392823870.