GCF of 6705/556, 7373/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6705/556, 7373/962 i.e 1/267436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6705/556, 7373/962.
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 6705/556,7373/962?
Given fractions are 6705/556,7373/962
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 6705/556,7373/962, numerators are 6705,7373
Denominators are 556,962
The GCF of 6705,7373 is 1 .
LCM of 556,962 is 267436.
The greatest common factor of 6705/556,7373/962 = [GCF of 6705,7373]/[LCM of 556,962]= 1/267436
Therefore, the GCF of 6705/556,7373/962 is 1/267436.
To find the highest common factor of 6705,7373, we have to find the factors of both numbers and list the highest common factor.
The factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705
The factors of 7373 are 1, 73, 101, 7373
The HCF of 6705,7373 is 1.
Lets's calculate GCF of 6705,7373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6705,7373 By Matching Biggest Common Factor Method
Now, list down the factors of 6705
:1,3,5,9,15,45,149,447,745,1341,2235,6705
Now, list down the factors of 7373
:1,73,101,7373
Greatest Common Factor
We found the factors 6705,7373 . The biggest common factor number is the GCF number.
So the greatest common factor 6705,7373 is 1.
Lets's calculate LCM of 556,962
| 2 | 556, 962 |
| 278, 481 |
∴ So the LCM of the given numbers is 2 x 278 x 481 = 267436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267436
Therefore, the GCF of Fractions 6705/556,7373/962 is 1/267436
Least Common Multiple of 556,962 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 556,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(556,962) x common factors =2 x 1 = 2
LCM(556,962) = ( 556 × 962 ) / 2
LCM(556,962) = 534872 / 2
LCM(556,962) = 267436
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FAQs on GCF of Fractions of 6705/556, 7373/962
1. What is the HCF of 6705,7373?
The HCF of 6705,7373 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 6705/556, 7373/962?
Answer: GCF of Numerators as per given numbers 6705/556, 7373/962 is
GCF of Numerators i.e. for 6705,7373 is 1
LCM of denominators i.e. for 556,962 is 267436.
Thus, GCF of Fractions is 1/267436.Finally, GCF of Fractions for 6705/556, 7373/962 is 1/267436.