GCF of 4736/658, 6631/7182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4736/658, 6631/7182 i.e 1/337554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4736/658, 6631/7182.
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 4736/658,6631/7182?
Given fractions are 4736/658,6631/7182
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 4736/658,6631/7182, numerators are 4736,6631
Denominators are 658,7182
The GCF of 4736,6631 is 1 .
LCM of 658,7182 is 337554.
The greatest common factor of 4736/658,6631/7182 = [GCF of 4736,6631]/[LCM of 658,7182]= 1/337554
Therefore, the GCF of 4736/658,6631/7182 is 1/337554.
To find the highest common factor of 4736,6631, we have to find the factors of both numbers and list the highest common factor.
The factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736
The factors of 6631 are 1, 19, 349, 6631
The HCF of 4736,6631 is 1.
Lets's calculate GCF of 4736,6631
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4736,6631 By Matching Biggest Common Factor Method
Now, list down the factors of 4736
:1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736
Now, list down the factors of 6631
:1,19,349,6631
Greatest Common Factor
We found the factors 4736,6631 . The biggest common factor number is the GCF number.
So the greatest common factor 4736,6631 is 1.
Lets's calculate LCM of 658,7182
| 2 | 658, 7182 |
| 7 | 329, 3591 |
| 47, 513 |
∴ So the LCM of the given numbers is 2 x 7 x 47 x 513 = 337554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337554
Therefore, the GCF of Fractions 4736/658,6631/7182 is 1/337554
Least Common Multiple of 658,7182 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 658,7182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,7182) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(658,7182) x common factors =14 x 1 = 14
LCM(658,7182) = ( 658 × 7182 ) / 14
LCM(658,7182) = 4725756 / 14
LCM(658,7182) = 337554
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FAQs on GCF of Fractions of 4736/658, 6631/7182
1. What is the HCF of 4736,6631?
The HCF of 4736,6631 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 4736/658, 6631/7182?
Answer: GCF of Numerators as per given numbers 4736/658, 6631/7182 is
GCF of Numerators i.e. for 4736,6631 is 1
LCM of denominators i.e. for 658,7182 is 337554.
Thus, GCF of Fractions is 1/337554.Finally, GCF of Fractions for 4736/658, 6631/7182 is 1/337554.