GCF of 703/100, 9920/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 703/100, 9920/619 i.e 1/61900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/100, 9920/619.
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 703/100,9920/619?
Given fractions are 703/100,9920/619
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 703/100,9920/619, numerators are 703,9920
Denominators are 100,619
The GCF of 703,9920 is 1 .
LCM of 100,619 is 61900.
The greatest common factor of 703/100,9920/619 = [GCF of 703,9920]/[LCM of 100,619]= 1/61900
Therefore, the GCF of 703/100,9920/619 is 1/61900.
To find the highest common factor of 703,9920, we have to find the factors of both numbers and list the highest common factor.
The factors of 703 are 1, 19, 37, 703
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920
The HCF of 703,9920 is 1.
Lets's calculate GCF of 703,9920
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 703,9920 By Matching Biggest Common Factor Method
Now, list down the factors of 703
:1,19,37,703
Now, list down the factors of 9920
:1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Greatest Common Factor
We found the factors 703,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 703,9920 is 1.
Lets's calculate LCM of 100,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 61900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61900
Therefore, the GCF of Fractions 703/100,9920/619 is 1/61900
Least Common Multiple of 100,619 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 100,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,619) x common factors =1 x 1 = 1
LCM(100,619) = ( 100 × 619 ) / 1
LCM(100,619) = 61900 / 1
LCM(100,619) = 61900
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FAQs on GCF of Fractions of 703/100, 9920/619
1. What is the HCF of 703,9920?
The HCF of 703,9920 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 703/100, 9920/619?
Answer: GCF of Numerators as per given numbers 703/100, 9920/619 is
GCF of Numerators i.e. for 703,9920 is 1
LCM of denominators i.e. for 100,619 is 61900.
Thus, GCF of Fractions is 1/61900.Finally, GCF of Fractions for 703/100, 9920/619 is 1/61900.