GCF of 2069/245, 1382/8978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2069/245, 1382/8978 i.e 1/2199610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2069/245, 1382/8978.
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 2069/245,1382/8978?
Given fractions are 2069/245,1382/8978
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 2069/245,1382/8978, numerators are 2069,1382
Denominators are 245,8978
The GCF of 2069,1382 is 1 .
LCM of 245,8978 is 2199610.
The greatest common factor of 2069/245,1382/8978 = [GCF of 2069,1382]/[LCM of 245,8978]= 1/2199610
Therefore, the GCF of 2069/245,1382/8978 is 1/2199610.
To find the highest common factor of 2069,1382, we have to find the factors of both numbers and list the highest common factor.
The factors of 2069 are 1, 2069
The factors of 1382 are 1, 2, 691, 1382
The HCF of 2069,1382 is 1.
Lets's calculate GCF of 2069,1382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2069,1382 By Matching Biggest Common Factor Method
Now, list down the factors of 2069
:1,2069
Now, list down the factors of 1382
:1,2,691,1382
Greatest Common Factor
We found the factors 2069,1382 . The biggest common factor number is the GCF number.
So the greatest common factor 2069,1382 is 1.
Lets's calculate LCM of 245,8978
Given numbers has no common factors except 1. So, there LCM is their product i.e 2199610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2199610
Therefore, the GCF of Fractions 2069/245,1382/8978 is 1/2199610
Least Common Multiple of 245,8978 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 245,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,8978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,8978) x common factors =1 x 1 = 1
LCM(245,8978) = ( 245 × 8978 ) / 1
LCM(245,8978) = 2199610 / 1
LCM(245,8978) = 2199610
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FAQs on GCF of Fractions of 2069/245, 1382/8978
1. What is the HCF of 2069,1382?
The HCF of 2069,1382 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 2069/245, 1382/8978?
Answer: GCF of Numerators as per given numbers 2069/245, 1382/8978 is
GCF of Numerators i.e. for 2069,1382 is 1
LCM of denominators i.e. for 245,8978 is 2199610.
Thus, GCF of Fractions is 1/2199610.Finally, GCF of Fractions for 2069/245, 1382/8978 is 1/2199610.