GCF of 7672/813, 5222/9346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7672/813, 5222/9346 i.e 14/7598298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7672/813, 5222/9346.
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 7672/813,5222/9346?
Given fractions are 7672/813,5222/9346
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 7672/813,5222/9346, numerators are 7672,5222
Denominators are 813,9346
The GCF of 7672,5222 is 14 .
LCM of 813,9346 is 7598298.
The greatest common factor of 7672/813,5222/9346 = [GCF of 7672,5222]/[LCM of 813,9346]= 14/7598298
Therefore, the GCF of 7672/813,5222/9346 is 14/7598298.
To find the highest common factor of 7672,5222, we have to find the factors of both numbers and list the highest common factor.
The factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672
The factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222
The HCF of 7672,5222 is 14.
Lets's calculate GCF of 7672,5222
| 2 | 7672, 5222 |
| 7 | 3836, 2611 |
| 548, 373 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7672,5222 By Matching Biggest Common Factor Method
Now, list down the factors of 7672
:1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672
Now, list down the factors of 5222
:1,2,7,14,373,746,2611,5222
Greatest Common Factor
We found the factors 7672,5222 . The biggest common factor number is the GCF number.
So the greatest common factor 7672,5222 is 14.
Lets's calculate LCM of 813,9346
Given numbers has no common factors except 1. So, there LCM is their product i.e 7598298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/7598298
Therefore, the GCF of Fractions 7672/813,5222/9346 is 14/7598298
Least Common Multiple of 813,9346 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 813,9346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,9346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,9346) x common factors =1 x 1 = 1
LCM(813,9346) = ( 813 × 9346 ) / 1
LCM(813,9346) = 7598298 / 1
LCM(813,9346) = 7598298
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FAQs on GCF of Fractions of 7672/813, 5222/9346
1. What is the HCF of 7672,5222?
The HCF of 7672,5222 is 14
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 7672/813, 5222/9346?
Answer: GCF of Numerators as per given numbers 7672/813, 5222/9346 is
GCF of Numerators i.e. for 7672,5222 is 14
LCM of denominators i.e. for 813,9346 is 7598298.
Thus, GCF of Fractions is 14/7598298.Finally, GCF of Fractions for 7672/813, 5222/9346 is 14/7598298.