GCF of 7129/634, 3702/8496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7129/634, 3702/8496 i.e 1/2693232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7129/634, 3702/8496.
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 7129/634,3702/8496?
Given fractions are 7129/634,3702/8496
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 7129/634,3702/8496, numerators are 7129,3702
Denominators are 634,8496
The GCF of 7129,3702 is 1 .
LCM of 634,8496 is 2693232.
The greatest common factor of 7129/634,3702/8496 = [GCF of 7129,3702]/[LCM of 634,8496]= 1/2693232
Therefore, the GCF of 7129/634,3702/8496 is 1/2693232.
To find the highest common factor of 7129,3702, we have to find the factors of both numbers and list the highest common factor.
The factors of 7129 are 1, 7129
The factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702
The HCF of 7129,3702 is 1.
Lets's calculate GCF of 7129,3702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7129,3702 By Matching Biggest Common Factor Method
Now, list down the factors of 7129
:1,7129
Now, list down the factors of 3702
:1,2,3,6,617,1234,1851,3702
Greatest Common Factor
We found the factors 7129,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 7129,3702 is 1.
Lets's calculate LCM of 634,8496
| 2 | 634, 8496 |
| 317, 4248 |
∴ So the LCM of the given numbers is 2 x 317 x 4248 = 2693232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2693232
Therefore, the GCF of Fractions 7129/634,3702/8496 is 1/2693232
Least Common Multiple of 634,8496 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 634,8496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,8496) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,8496) x common factors =2 x 1 = 2
LCM(634,8496) = ( 634 × 8496 ) / 2
LCM(634,8496) = 5386464 / 2
LCM(634,8496) = 2693232
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FAQs on GCF of Fractions of 7129/634, 3702/8496
1. What is the HCF of 7129,3702?
The HCF of 7129,3702 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 7129/634, 3702/8496?
Answer: GCF of Numerators as per given numbers 7129/634, 3702/8496 is
GCF of Numerators i.e. for 7129,3702 is 1
LCM of denominators i.e. for 634,8496 is 2693232.
Thus, GCF of Fractions is 1/2693232.Finally, GCF of Fractions for 7129/634, 3702/8496 is 1/2693232.