GCF of 7247/652, 5837/836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7247/652, 5837/836 i.e 1/136268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7247/652, 5837/836.
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 7247/652,5837/836?
Given fractions are 7247/652,5837/836
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 7247/652,5837/836, numerators are 7247,5837
Denominators are 652,836
The GCF of 7247,5837 is 1 .
LCM of 652,836 is 136268.
The greatest common factor of 7247/652,5837/836 = [GCF of 7247,5837]/[LCM of 652,836]= 1/136268
Therefore, the GCF of 7247/652,5837/836 is 1/136268.
To find the highest common factor of 7247,5837, we have to find the factors of both numbers and list the highest common factor.
The factors of 7247 are 1, 7247
The factors of 5837 are 1, 13, 449, 5837
The HCF of 7247,5837 is 1.
Lets's calculate GCF of 7247,5837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7247,5837 By Matching Biggest Common Factor Method
Now, list down the factors of 7247
:1,7247
Now, list down the factors of 5837
:1,13,449,5837
Greatest Common Factor
We found the factors 7247,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 7247,5837 is 1.
Lets's calculate LCM of 652,836
| 2 | 652, 836 |
| 2 | 326, 418 |
| 163, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 209 = 136268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136268
Therefore, the GCF of Fractions 7247/652,5837/836 is 1/136268
Least Common Multiple of 652,836 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 652,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,836) x common factors =4 x 1 = 4
LCM(652,836) = ( 652 × 836 ) / 4
LCM(652,836) = 545072 / 4
LCM(652,836) = 136268
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FAQs on GCF of Fractions of 7247/652, 5837/836
1. What is the HCF of 7247,5837?
The HCF of 7247,5837 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 7247/652, 5837/836?
Answer: GCF of Numerators as per given numbers 7247/652, 5837/836 is
GCF of Numerators i.e. for 7247,5837 is 1
LCM of denominators i.e. for 652,836 is 136268.
Thus, GCF of Fractions is 1/136268.Finally, GCF of Fractions for 7247/652, 5837/836 is 1/136268.