GCF of 7212/998, 8472/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7212/998, 8472/692 i.e 12/345308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7212/998, 8472/692.
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 7212/998,8472/692?
Given fractions are 7212/998,8472/692
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 7212/998,8472/692, numerators are 7212,8472
Denominators are 998,692
The GCF of 7212,8472 is 12 .
LCM of 998,692 is 345308.
The greatest common factor of 7212/998,8472/692 = [GCF of 7212,8472]/[LCM of 998,692]= 12/345308
Therefore, the GCF of 7212/998,8472/692 is 12/345308.
To find the highest common factor of 7212,8472, we have to find the factors of both numbers and list the highest common factor.
The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The HCF of 7212,8472 is 12.
Lets's calculate GCF of 7212,8472
| 2 | 7212, 8472 |
| 2 | 3606, 4236 |
| 3 | 1803, 2118 |
| 601, 706 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7212,8472 By Matching Biggest Common Factor Method
Now, list down the factors of 7212
:1,2,3,4,6,12,601,1202,1803,2404,3606,7212
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 7212,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 7212,8472 is 12.
Lets's calculate LCM of 998,692
| 2 | 998, 692 |
| 499, 346 |
∴ So the LCM of the given numbers is 2 x 499 x 346 = 345308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/345308
Therefore, the GCF of Fractions 7212/998,8472/692 is 12/345308
Least Common Multiple of 998,692 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 998,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,692) x common factors =2 x 1 = 2
LCM(998,692) = ( 998 × 692 ) / 2
LCM(998,692) = 690616 / 2
LCM(998,692) = 345308
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FAQs on GCF of Fractions of 7212/998, 8472/692
1. What is the HCF of 7212,8472?
The HCF of 7212,8472 is 12
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 7212/998, 8472/692?
Answer: GCF of Numerators as per given numbers 7212/998, 8472/692 is
GCF of Numerators i.e. for 7212,8472 is 12
LCM of denominators i.e. for 998,692 is 345308.
Thus, GCF of Fractions is 12/345308.Finally, GCF of Fractions for 7212/998, 8472/692 is 12/345308.