GCF of 78/307, 61/667, 423/436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 78/307, 61/667, 423/436 i.e 1/89279284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/307, 61/667, 423/436.
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 78/307,61/667,423/436?
Given fractions are 78/307,61/667,423/436
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 78/307,61/667,423/436, numerators are 78,61,423
Denominators are 307,667,436
The GCF of 78,61,423 is 1 .
LCM of 307,667,436 is 89279284.
The greatest common factor of 78/307,61/667,423/436 = [GCF of 78,61,423]/[LCM of 307,667,436]= 1/89279284
Therefore, the GCF of 78/307,61/667,423/436 is 1/89279284.
To find the highest common factor of 78,61,423, we have to find the factors of both numbers and list the highest common factor.
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 61 are 1, 61
The factors of 423 are 1, 3, 9, 47, 141, 423
The HCF of 78,61,423 is 1.
Lets's calculate GCF of 78,61,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 78,61,423 By Matching Biggest Common Factor Method
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 61
:1,61
Now, list down the factors of 423
:1,3,9,47,141,423
Greatest Common Factor
We found the factors 78,61,423 . The biggest common factor number is the GCF number.
So the greatest common factor 78,61,423 is 1.
Lets's calculate LCM of 307,667,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 89279284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89279284
Therefore, the GCF of Fractions 78/307,61/667,423/436 is 1/89279284
Least Common Multiple of 307,667,436 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 307,667,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,667,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,667,436) x common factors =1 x 1 = 1
LCM(307,667,436) = ( 307 × 667 × 436 ) / 1
LCM(307,667,436) = 89279284 / 1
LCM(307,667,436) = 89279284
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FAQs on GCF of Fractions of 78/307, 61/667, 423/436
1. What is the HCF of 78,61,423?
The HCF of 78,61,423 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 78/307, 61/667, 423/436?
Answer: GCF of Numerators as per given numbers 78/307, 61/667, 423/436 is
GCF of Numerators i.e. for 78,61,423 is 1
LCM of denominators i.e. for 307,667,436 is 89279284.
Thus, GCF of Fractions is 1/89279284.Finally, GCF of Fractions for 78/307, 61/667, 423/436 is 1/89279284.