GCF of 7869/348, 7658/8436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7869/348, 7658/8436 i.e 1/244644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7869/348, 7658/8436.
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 7869/348,7658/8436?
Given fractions are 7869/348,7658/8436
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 7869/348,7658/8436, numerators are 7869,7658
Denominators are 348,8436
The GCF of 7869,7658 is 1 .
LCM of 348,8436 is 244644.
The greatest common factor of 7869/348,7658/8436 = [GCF of 7869,7658]/[LCM of 348,8436]= 1/244644
Therefore, the GCF of 7869/348,7658/8436 is 1/244644.
To find the highest common factor of 7869,7658, we have to find the factors of both numbers and list the highest common factor.
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658
The HCF of 7869,7658 is 1.
Lets's calculate GCF of 7869,7658
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7869,7658 By Matching Biggest Common Factor Method
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Now, list down the factors of 7658
:1,2,7,14,547,1094,3829,7658
Greatest Common Factor
We found the factors 7869,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 7869,7658 is 1.
Lets's calculate LCM of 348,8436
| 2 | 348, 8436 |
| 2 | 174, 4218 |
| 3 | 87, 2109 |
| 29, 703 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 703 = 244644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244644
Therefore, the GCF of Fractions 7869/348,7658/8436 is 1/244644
Least Common Multiple of 348,8436 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 348,8436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,8436) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,8436) x common factors =12 x 1 = 12
LCM(348,8436) = ( 348 × 8436 ) / 12
LCM(348,8436) = 2935728 / 12
LCM(348,8436) = 244644
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FAQs on GCF of Fractions of 7869/348, 7658/8436
1. What is the HCF of 7869,7658?
The HCF of 7869,7658 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 7869/348, 7658/8436?
Answer: GCF of Numerators as per given numbers 7869/348, 7658/8436 is
GCF of Numerators i.e. for 7869,7658 is 1
LCM of denominators i.e. for 348,8436 is 244644.
Thus, GCF of Fractions is 1/244644.Finally, GCF of Fractions for 7869/348, 7658/8436 is 1/244644.