GCF of 108/429, 740/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 108/429, 740/648 i.e 4/92664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/429, 740/648.
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 108/429,740/648?
Given fractions are 108/429,740/648
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 108/429,740/648, numerators are 108,740
Denominators are 429,648
The GCF of 108,740 is 4 .
LCM of 429,648 is 92664.
The greatest common factor of 108/429,740/648 = [GCF of 108,740]/[LCM of 429,648]= 4/92664
Therefore, the GCF of 108/429,740/648 is 4/92664.
To find the highest common factor of 108,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 108,740 is 4.
Lets's calculate GCF of 108,740
| 2 | 108, 740 |
| 2 | 54, 370 |
| 27, 185 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 108,740 By Matching Biggest Common Factor Method
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 108,740 . The biggest common factor number is the GCF number.
So the greatest common factor 108,740 is 4.
Lets's calculate LCM of 429,648
| 3 | 429, 648 |
| 143, 216 |
∴ So the LCM of the given numbers is 3 x 143 x 216 = 92664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/92664
Therefore, the GCF of Fractions 108/429,740/648 is 4/92664
Least Common Multiple of 429,648 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 429,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,648) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,648) x common factors =3 x 1 = 3
LCM(429,648) = ( 429 × 648 ) / 3
LCM(429,648) = 277992 / 3
LCM(429,648) = 92664
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FAQs on GCF of Fractions of 108/429, 740/648
1. What is the HCF of 108,740?
The HCF of 108,740 is 4
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 108/429, 740/648?
Answer: GCF of Numerators as per given numbers 108/429, 740/648 is
GCF of Numerators i.e. for 108,740 is 4
LCM of denominators i.e. for 429,648 is 92664.
Thus, GCF of Fractions is 4/92664.Finally, GCF of Fractions for 108/429, 740/648 is 4/92664.