GCF of 3422/863, 7759/6205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3422/863, 7759/6205 i.e 1/5354915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3422/863, 7759/6205.
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 3422/863,7759/6205?
Given fractions are 3422/863,7759/6205
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 3422/863,7759/6205, numerators are 3422,7759
Denominators are 863,6205
The GCF of 3422,7759 is 1 .
LCM of 863,6205 is 5354915.
The greatest common factor of 3422/863,7759/6205 = [GCF of 3422,7759]/[LCM of 863,6205]= 1/5354915
Therefore, the GCF of 3422/863,7759/6205 is 1/5354915.
To find the highest common factor of 3422,7759, we have to find the factors of both numbers and list the highest common factor.
The factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422
The factors of 7759 are 1, 7759
The HCF of 3422,7759 is 1.
Lets's calculate GCF of 3422,7759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3422,7759 By Matching Biggest Common Factor Method
Now, list down the factors of 3422
:1,2,29,58,59,118,1711,3422
Now, list down the factors of 7759
:1,7759
Greatest Common Factor
We found the factors 3422,7759 . The biggest common factor number is the GCF number.
So the greatest common factor 3422,7759 is 1.
Lets's calculate LCM of 863,6205
Given numbers has no common factors except 1. So, there LCM is their product i.e 5354915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5354915
Therefore, the GCF of Fractions 3422/863,7759/6205 is 1/5354915
Least Common Multiple of 863,6205 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 863,6205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,6205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,6205) x common factors =1 x 1 = 1
LCM(863,6205) = ( 863 × 6205 ) / 1
LCM(863,6205) = 5354915 / 1
LCM(863,6205) = 5354915
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FAQs on GCF of Fractions of 3422/863, 7759/6205
1. What is the HCF of 3422,7759?
The HCF of 3422,7759 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 3422/863, 7759/6205?
Answer: GCF of Numerators as per given numbers 3422/863, 7759/6205 is
GCF of Numerators i.e. for 3422,7759 is 1
LCM of denominators i.e. for 863,6205 is 5354915.
Thus, GCF of Fractions is 1/5354915.Finally, GCF of Fractions for 3422/863, 7759/6205 is 1/5354915.