GCF of 1077/357, 9109/7542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1077/357, 9109/7542 i.e 1/897498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1077/357, 9109/7542.
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 1077/357,9109/7542?
Given fractions are 1077/357,9109/7542
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 1077/357,9109/7542, numerators are 1077,9109
Denominators are 357,7542
The GCF of 1077,9109 is 1 .
LCM of 357,7542 is 897498.
The greatest common factor of 1077/357,9109/7542 = [GCF of 1077,9109]/[LCM of 357,7542]= 1/897498
Therefore, the GCF of 1077/357,9109/7542 is 1/897498.
To find the highest common factor of 1077,9109, we have to find the factors of both numbers and list the highest common factor.
The factors of 1077 are 1, 3, 359, 1077
The factors of 9109 are 1, 9109
The HCF of 1077,9109 is 1.
Lets's calculate GCF of 1077,9109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1077,9109 By Matching Biggest Common Factor Method
Now, list down the factors of 1077
:1,3,359,1077
Now, list down the factors of 9109
:1,9109
Greatest Common Factor
We found the factors 1077,9109 . The biggest common factor number is the GCF number.
So the greatest common factor 1077,9109 is 1.
Lets's calculate LCM of 357,7542
| 3 | 357, 7542 |
| 119, 2514 |
∴ So the LCM of the given numbers is 3 x 119 x 2514 = 897498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/897498
Therefore, the GCF of Fractions 1077/357,9109/7542 is 1/897498
Least Common Multiple of 357,7542 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 357,7542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,7542) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,7542) x common factors =3 x 1 = 3
LCM(357,7542) = ( 357 × 7542 ) / 3
LCM(357,7542) = 2692494 / 3
LCM(357,7542) = 897498
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FAQs on GCF of Fractions of 1077/357, 9109/7542
1. What is the HCF of 1077,9109?
The HCF of 1077,9109 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 1077/357, 9109/7542?
Answer: GCF of Numerators as per given numbers 1077/357, 9109/7542 is
GCF of Numerators i.e. for 1077,9109 is 1
LCM of denominators i.e. for 357,7542 is 897498.
Thus, GCF of Fractions is 1/897498.Finally, GCF of Fractions for 1077/357, 9109/7542 is 1/897498.