GCF of 7906/646, 1195/5345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7906/646, 1195/5345 i.e 1/3452870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7906/646, 1195/5345.
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 7906/646,1195/5345?
Given fractions are 7906/646,1195/5345
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 7906/646,1195/5345, numerators are 7906,1195
Denominators are 646,5345
The GCF of 7906,1195 is 1 .
LCM of 646,5345 is 3452870.
The greatest common factor of 7906/646,1195/5345 = [GCF of 7906,1195]/[LCM of 646,5345]= 1/3452870
Therefore, the GCF of 7906/646,1195/5345 is 1/3452870.
To find the highest common factor of 7906,1195, we have to find the factors of both numbers and list the highest common factor.
The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906
The factors of 1195 are 1, 5, 239, 1195
The HCF of 7906,1195 is 1.
Lets's calculate GCF of 7906,1195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7906,1195 By Matching Biggest Common Factor Method
Now, list down the factors of 7906
:1,2,59,67,118,134,3953,7906
Now, list down the factors of 1195
:1,5,239,1195
Greatest Common Factor
We found the factors 7906,1195 . The biggest common factor number is the GCF number.
So the greatest common factor 7906,1195 is 1.
Lets's calculate LCM of 646,5345
Given numbers has no common factors except 1. So, there LCM is their product i.e 3452870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3452870
Therefore, the GCF of Fractions 7906/646,1195/5345 is 1/3452870
Least Common Multiple of 646,5345 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 646,5345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,5345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,5345) x common factors =1 x 1 = 1
LCM(646,5345) = ( 646 × 5345 ) / 1
LCM(646,5345) = 3452870 / 1
LCM(646,5345) = 3452870
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FAQs on GCF of Fractions of 7906/646, 1195/5345
1. What is the HCF of 7906,1195?
The HCF of 7906,1195 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 7906/646, 1195/5345?
Answer: GCF of Numerators as per given numbers 7906/646, 1195/5345 is
GCF of Numerators i.e. for 7906,1195 is 1
LCM of denominators i.e. for 646,5345 is 3452870.
Thus, GCF of Fractions is 1/3452870.Finally, GCF of Fractions for 7906/646, 1195/5345 is 1/3452870.