GCF of 4998/704, 8354/7668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4998/704, 8354/7668 i.e 2/1349568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4998/704, 8354/7668.
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 4998/704,8354/7668?
Given fractions are 4998/704,8354/7668
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 4998/704,8354/7668, numerators are 4998,8354
Denominators are 704,7668
The GCF of 4998,8354 is 2 .
LCM of 704,7668 is 1349568.
The greatest common factor of 4998/704,8354/7668 = [GCF of 4998,8354]/[LCM of 704,7668]= 2/1349568
Therefore, the GCF of 4998/704,8354/7668 is 2/1349568.
To find the highest common factor of 4998,8354, we have to find the factors of both numbers and list the highest common factor.
The factors of 4998 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998
The factors of 8354 are 1, 2, 4177, 8354
The HCF of 4998,8354 is 2.
Lets's calculate GCF of 4998,8354
| 2 | 4998, 8354 |
| 2499, 4177 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4998,8354 By Matching Biggest Common Factor Method
Now, list down the factors of 4998
:1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998
Now, list down the factors of 8354
:1,2,4177,8354
Greatest Common Factor
We found the factors 4998,8354 . The biggest common factor number is the GCF number.
So the greatest common factor 4998,8354 is 2.
Lets's calculate LCM of 704,7668
| 2 | 704, 7668 |
| 2 | 352, 3834 |
| 176, 1917 |
∴ So the LCM of the given numbers is 2 x 2 x 176 x 1917 = 1349568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1349568
Therefore, the GCF of Fractions 4998/704,8354/7668 is 2/1349568
Least Common Multiple of 704,7668 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 704,7668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,7668) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(704,7668) x common factors =4 x 1 = 4
LCM(704,7668) = ( 704 × 7668 ) / 4
LCM(704,7668) = 5398272 / 4
LCM(704,7668) = 1349568
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FAQs on GCF of Fractions of 4998/704, 8354/7668
1. What is the HCF of 4998,8354?
The HCF of 4998,8354 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 4998/704, 8354/7668?
Answer: GCF of Numerators as per given numbers 4998/704, 8354/7668 is
GCF of Numerators i.e. for 4998,8354 is 2
LCM of denominators i.e. for 704,7668 is 1349568.
Thus, GCF of Fractions is 2/1349568.Finally, GCF of Fractions for 4998/704, 8354/7668 is 2/1349568.