GCF of 7757/998, 3274/7002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7757/998, 3274/7002 i.e 1/3493998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7757/998, 3274/7002.
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 7757/998,3274/7002?
Given fractions are 7757/998,3274/7002
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 7757/998,3274/7002, numerators are 7757,3274
Denominators are 998,7002
The GCF of 7757,3274 is 1 .
LCM of 998,7002 is 3493998.
The greatest common factor of 7757/998,3274/7002 = [GCF of 7757,3274]/[LCM of 998,7002]= 1/3493998
Therefore, the GCF of 7757/998,3274/7002 is 1/3493998.
To find the highest common factor of 7757,3274, we have to find the factors of both numbers and list the highest common factor.
The factors of 7757 are 1, 7757
The factors of 3274 are 1, 2, 1637, 3274
The HCF of 7757,3274 is 1.
Lets's calculate GCF of 7757,3274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7757,3274 By Matching Biggest Common Factor Method
Now, list down the factors of 7757
:1,7757
Now, list down the factors of 3274
:1,2,1637,3274
Greatest Common Factor
We found the factors 7757,3274 . The biggest common factor number is the GCF number.
So the greatest common factor 7757,3274 is 1.
Lets's calculate LCM of 998,7002
| 2 | 998, 7002 |
| 499, 3501 |
∴ So the LCM of the given numbers is 2 x 499 x 3501 = 3493998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3493998
Therefore, the GCF of Fractions 7757/998,3274/7002 is 1/3493998
Least Common Multiple of 998,7002 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 998,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,7002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,7002) x common factors =2 x 1 = 2
LCM(998,7002) = ( 998 × 7002 ) / 2
LCM(998,7002) = 6987996 / 2
LCM(998,7002) = 3493998
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7757/998, 3274/7002
1. What is the HCF of 7757,3274?
The HCF of 7757,3274 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 7757/998, 3274/7002?
Answer: GCF of Numerators as per given numbers 7757/998, 3274/7002 is
GCF of Numerators i.e. for 7757,3274 is 1
LCM of denominators i.e. for 998,7002 is 3493998.
Thus, GCF of Fractions is 1/3493998.Finally, GCF of Fractions for 7757/998, 3274/7002 is 1/3493998.