GCF of 70/11, 605/54, 508/763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/11, 605/54, 508/763 i.e 1/453222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/11, 605/54, 508/763.
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 70/11,605/54,508/763?
Given fractions are 70/11,605/54,508/763
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 70/11,605/54,508/763, numerators are 70,605,508
Denominators are 11,54,763
The GCF of 70,605,508 is 1 .
LCM of 11,54,763 is 453222.
The greatest common factor of 70/11,605/54,508/763 = [GCF of 70,605,508]/[LCM of 11,54,763]= 1/453222
Therefore, the GCF of 70/11,605/54,508/763 is 1/453222.
To find the highest common factor of 70,605,508, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 508 are 1, 2, 4, 127, 254, 508
The HCF of 70,605,508 is 1.
Lets's calculate GCF of 70,605,508
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 70,605,508 By Matching Biggest Common Factor Method
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 508
:1,2,4,127,254,508
Greatest Common Factor
We found the factors 70,605,508 . The biggest common factor number is the GCF number.
So the greatest common factor 70,605,508 is 1.
Lets's calculate LCM of 11,54,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 453222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453222
Therefore, the GCF of Fractions 70/11,605/54,508/763 is 1/453222
Least Common Multiple of 11,54,763 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 11,54,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,54,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,54,763) x common factors =1 x 1 = 1
LCM(11,54,763) = ( 11 × 54 × 763 ) / 1
LCM(11,54,763) = 453222 / 1
LCM(11,54,763) = 453222
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FAQs on GCF of Fractions of 70/11, 605/54, 508/763
1. What is the HCF of 70,605,508?
The HCF of 70,605,508 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 70/11, 605/54, 508/763?
Answer: GCF of Numerators as per given numbers 70/11, 605/54, 508/763 is
GCF of Numerators i.e. for 70,605,508 is 1
LCM of denominators i.e. for 11,54,763 is 453222.
Thus, GCF of Fractions is 1/453222.Finally, GCF of Fractions for 70/11, 605/54, 508/763 is 1/453222.