GCF of 8498/364, 7302/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8498/364, 7302/677 i.e 2/246428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8498/364, 7302/677.
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 8498/364,7302/677?
Given fractions are 8498/364,7302/677
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 8498/364,7302/677, numerators are 8498,7302
Denominators are 364,677
The GCF of 8498,7302 is 2 .
LCM of 364,677 is 246428.
The greatest common factor of 8498/364,7302/677 = [GCF of 8498,7302]/[LCM of 364,677]= 2/246428
Therefore, the GCF of 8498/364,7302/677 is 2/246428.
To find the highest common factor of 8498,7302, we have to find the factors of both numbers and list the highest common factor.
The factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The HCF of 8498,7302 is 2.
Lets's calculate GCF of 8498,7302
| 2 | 8498, 7302 |
| 4249, 3651 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8498,7302 By Matching Biggest Common Factor Method
Now, list down the factors of 8498
:1,2,7,14,607,1214,4249,8498
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Greatest Common Factor
We found the factors 8498,7302 . The biggest common factor number is the GCF number.
So the greatest common factor 8498,7302 is 2.
Lets's calculate LCM of 364,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 246428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246428
Therefore, the GCF of Fractions 8498/364,7302/677 is 2/246428
Least Common Multiple of 364,677 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 364,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,677) x common factors =1 x 1 = 1
LCM(364,677) = ( 364 × 677 ) / 1
LCM(364,677) = 246428 / 1
LCM(364,677) = 246428
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FAQs on GCF of Fractions of 8498/364, 7302/677
1. What is the HCF of 8498,7302?
The HCF of 8498,7302 is 2
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 8498/364, 7302/677?
Answer: GCF of Numerators as per given numbers 8498/364, 7302/677 is
GCF of Numerators i.e. for 8498,7302 is 2
LCM of denominators i.e. for 364,677 is 246428.
Thus, GCF of Fractions is 2/246428.Finally, GCF of Fractions for 8498/364, 7302/677 is 2/246428.