GCF of 7390/634, 6835/7445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7390/634, 6835/7445 i.e 5/4720130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7390/634, 6835/7445.
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 7390/634,6835/7445?
Given fractions are 7390/634,6835/7445
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 7390/634,6835/7445, numerators are 7390,6835
Denominators are 634,7445
The GCF of 7390,6835 is 5 .
LCM of 634,7445 is 4720130.
The greatest common factor of 7390/634,6835/7445 = [GCF of 7390,6835]/[LCM of 634,7445]= 5/4720130
Therefore, the GCF of 7390/634,6835/7445 is 5/4720130.
To find the highest common factor of 7390,6835, we have to find the factors of both numbers and list the highest common factor.
The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390
The factors of 6835 are 1, 5, 1367, 6835
The HCF of 7390,6835 is 5.
Lets's calculate GCF of 7390,6835
| 5 | 7390, 6835 |
| 1478, 1367 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7390,6835 By Matching Biggest Common Factor Method
Now, list down the factors of 7390
:1,2,5,10,739,1478,3695,7390
Now, list down the factors of 6835
:1,5,1367,6835
Greatest Common Factor
We found the factors 7390,6835 . The biggest common factor number is the GCF number.
So the greatest common factor 7390,6835 is 5.
Lets's calculate LCM of 634,7445
Given numbers has no common factors except 1. So, there LCM is their product i.e 4720130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4720130
Therefore, the GCF of Fractions 7390/634,6835/7445 is 5/4720130
Least Common Multiple of 634,7445 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 634,7445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,7445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,7445) x common factors =1 x 1 = 1
LCM(634,7445) = ( 634 × 7445 ) / 1
LCM(634,7445) = 4720130 / 1
LCM(634,7445) = 4720130
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FAQs on GCF of Fractions of 7390/634, 6835/7445
1. What is the HCF of 7390,6835?
The HCF of 7390,6835 is 5
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 7390/634, 6835/7445?
Answer: GCF of Numerators as per given numbers 7390/634, 6835/7445 is
GCF of Numerators i.e. for 7390,6835 is 5
LCM of denominators i.e. for 634,7445 is 4720130.
Thus, GCF of Fractions is 5/4720130.Finally, GCF of Fractions for 7390/634, 6835/7445 is 5/4720130.