GCF of 7612/978, 7101/6873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7612/978, 7101/6873 i.e 1/2240598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7612/978, 7101/6873.
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 7612/978,7101/6873?
Given fractions are 7612/978,7101/6873
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 7612/978,7101/6873, numerators are 7612,7101
Denominators are 978,6873
The GCF of 7612,7101 is 1 .
LCM of 978,6873 is 2240598.
The greatest common factor of 7612/978,7101/6873 = [GCF of 7612,7101]/[LCM of 978,6873]= 1/2240598
Therefore, the GCF of 7612/978,7101/6873 is 1/2240598.
To find the highest common factor of 7612,7101, we have to find the factors of both numbers and list the highest common factor.
The factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612
The factors of 7101 are 1, 3, 9, 27, 263, 789, 2367, 7101
The HCF of 7612,7101 is 1.
Lets's calculate GCF of 7612,7101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7612,7101 By Matching Biggest Common Factor Method
Now, list down the factors of 7612
:1,2,4,11,22,44,173,346,692,1903,3806,7612
Now, list down the factors of 7101
:1,3,9,27,263,789,2367,7101
Greatest Common Factor
We found the factors 7612,7101 . The biggest common factor number is the GCF number.
So the greatest common factor 7612,7101 is 1.
Lets's calculate LCM of 978,6873
| 3 | 978, 6873 |
| 326, 2291 |
∴ So the LCM of the given numbers is 3 x 326 x 2291 = 2240598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2240598
Therefore, the GCF of Fractions 7612/978,7101/6873 is 1/2240598
Least Common Multiple of 978,6873 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 978,6873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,6873) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,6873) x common factors =3 x 1 = 3
LCM(978,6873) = ( 978 × 6873 ) / 3
LCM(978,6873) = 6721794 / 3
LCM(978,6873) = 2240598
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FAQs on GCF of Fractions of 7612/978, 7101/6873
1. What is the HCF of 7612,7101?
The HCF of 7612,7101 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 7612/978, 7101/6873?
Answer: GCF of Numerators as per given numbers 7612/978, 7101/6873 is
GCF of Numerators i.e. for 7612,7101 is 1
LCM of denominators i.e. for 978,6873 is 2240598.
Thus, GCF of Fractions is 1/2240598.Finally, GCF of Fractions for 7612/978, 7101/6873 is 1/2240598.