GCF of 7102/426, 7685/4673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7102/426, 7685/4673 i.e 53/1990698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7102/426, 7685/4673.
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 7102/426,7685/4673?
Given fractions are 7102/426,7685/4673
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 7102/426,7685/4673, numerators are 7102,7685
Denominators are 426,4673
The GCF of 7102,7685 is 53 .
LCM of 426,4673 is 1990698.
The greatest common factor of 7102/426,7685/4673 = [GCF of 7102,7685]/[LCM of 426,4673]= 53/1990698
Therefore, the GCF of 7102/426,7685/4673 is 53/1990698.
To find the highest common factor of 7102,7685, we have to find the factors of both numbers and list the highest common factor.
The factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The HCF of 7102,7685 is 53.
Lets's calculate GCF of 7102,7685
| 53 | 7102, 7685 |
| 134, 145 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 7102,7685 By Matching Biggest Common Factor Method
Now, list down the factors of 7102
:1,2,53,67,106,134,3551,7102
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Greatest Common Factor
We found the factors 7102,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 7102,7685 is 53.
Lets's calculate LCM of 426,4673
Given numbers has no common factors except 1. So, there LCM is their product i.e 1990698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/1990698
Therefore, the GCF of Fractions 7102/426,7685/4673 is 53/1990698
Least Common Multiple of 426,4673 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 426,4673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,4673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,4673) x common factors =1 x 1 = 1
LCM(426,4673) = ( 426 × 4673 ) / 1
LCM(426,4673) = 1990698 / 1
LCM(426,4673) = 1990698
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FAQs on GCF of Fractions of 7102/426, 7685/4673
1. What is the HCF of 7102,7685?
The HCF of 7102,7685 is 53
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 7102/426, 7685/4673?
Answer: GCF of Numerators as per given numbers 7102/426, 7685/4673 is
GCF of Numerators i.e. for 7102,7685 is 53
LCM of denominators i.e. for 426,4673 is 1990698.
Thus, GCF of Fractions is 53/1990698.Finally, GCF of Fractions for 7102/426, 7685/4673 is 53/1990698.