GCF of 440/648, 524/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 440/648, 524/702 i.e 4/8424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/648, 524/702.
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 440/648,524/702?
Given fractions are 440/648,524/702
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 440/648,524/702, numerators are 440,524
Denominators are 648,702
The GCF of 440,524 is 4 .
LCM of 648,702 is 8424.
The greatest common factor of 440/648,524/702 = [GCF of 440,524]/[LCM of 648,702]= 4/8424
Therefore, the GCF of 440/648,524/702 is 4/8424.
To find the highest common factor of 440,524, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 440,524 is 4.
Lets's calculate GCF of 440,524
| 2 | 440, 524 |
| 2 | 220, 262 |
| 110, 131 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 440,524 By Matching Biggest Common Factor Method
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 440,524 . The biggest common factor number is the GCF number.
So the greatest common factor 440,524 is 4.
Lets's calculate LCM of 648,702
| 2 | 648, 702 |
| 3 | 324, 351 |
| 3 | 108, 117 |
| 3 | 36, 39 |
| 12, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 12 x 13 = 8424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8424
Therefore, the GCF of Fractions 440/648,524/702 is 4/8424
Least Common Multiple of 648,702 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 648,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,702) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(648,702) x common factors =54 x 1 = 54
LCM(648,702) = ( 648 × 702 ) / 54
LCM(648,702) = 454896 / 54
LCM(648,702) = 8424
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FAQs on GCF of Fractions of 440/648, 524/702
1. What is the HCF of 440,524?
The HCF of 440,524 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 440/648, 524/702?
Answer: GCF of Numerators as per given numbers 440/648, 524/702 is
GCF of Numerators i.e. for 440,524 is 4
LCM of denominators i.e. for 648,702 is 8424.
Thus, GCF of Fractions is 4/8424.Finally, GCF of Fractions for 440/648, 524/702 is 4/8424.