GCF of 6998/548, 7992/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6998/548, 7992/984 i.e 2/134808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6998/548, 7992/984.
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 6998/548,7992/984?
Given fractions are 6998/548,7992/984
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 6998/548,7992/984, numerators are 6998,7992
Denominators are 548,984
The GCF of 6998,7992 is 2 .
LCM of 548,984 is 134808.
The greatest common factor of 6998/548,7992/984 = [GCF of 6998,7992]/[LCM of 548,984]= 2/134808
Therefore, the GCF of 6998/548,7992/984 is 2/134808.
To find the highest common factor of 6998,7992, we have to find the factors of both numbers and list the highest common factor.
The factors of 6998 are 1, 2, 3499, 6998
The factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992
The HCF of 6998,7992 is 2.
Lets's calculate GCF of 6998,7992
| 2 | 6998, 7992 |
| 3499, 3996 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6998,7992 By Matching Biggest Common Factor Method
Now, list down the factors of 6998
:1,2,3499,6998
Now, list down the factors of 7992
:1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992
Greatest Common Factor
We found the factors 6998,7992 . The biggest common factor number is the GCF number.
So the greatest common factor 6998,7992 is 2.
Lets's calculate LCM of 548,984
| 2 | 548, 984 |
| 2 | 274, 492 |
| 137, 246 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 246 = 134808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134808
Therefore, the GCF of Fractions 6998/548,7992/984 is 2/134808
Least Common Multiple of 548,984 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 548,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,984) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,984) x common factors =4 x 1 = 4
LCM(548,984) = ( 548 × 984 ) / 4
LCM(548,984) = 539232 / 4
LCM(548,984) = 134808
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FAQs on GCF of Fractions of 6998/548, 7992/984
1. What is the HCF of 6998,7992?
The HCF of 6998,7992 is 2
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 6998/548, 7992/984?
Answer: GCF of Numerators as per given numbers 6998/548, 7992/984 is
GCF of Numerators i.e. for 6998,7992 is 2
LCM of denominators i.e. for 548,984 is 134808.
Thus, GCF of Fractions is 2/134808.Finally, GCF of Fractions for 6998/548, 7992/984 is 2/134808.