GCF of 7424/735, 2136/925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7424/735, 2136/925 i.e 8/135975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/735, 2136/925.
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 7424/735,2136/925?
Given fractions are 7424/735,2136/925
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 7424/735,2136/925, numerators are 7424,2136
Denominators are 735,925
The GCF of 7424,2136 is 8 .
LCM of 735,925 is 135975.
The greatest common factor of 7424/735,2136/925 = [GCF of 7424,2136]/[LCM of 735,925]= 8/135975
Therefore, the GCF of 7424/735,2136/925 is 8/135975.
To find the highest common factor of 7424,2136, we have to find the factors of both numbers and list the highest common factor.
The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424
The factors of 2136 are 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136
The HCF of 7424,2136 is 8.
Lets's calculate GCF of 7424,2136
| 2 | 7424, 2136 |
| 2 | 3712, 1068 |
| 2 | 1856, 534 |
| 928, 267 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7424,2136 By Matching Biggest Common Factor Method
Now, list down the factors of 7424
:1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424
Now, list down the factors of 2136
:1,2,3,4,6,8,12,24,89,178,267,356,534,712,1068,2136
Greatest Common Factor
We found the factors 7424,2136 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,2136 is 8.
Lets's calculate LCM of 735,925
| 5 | 735, 925 |
| 147, 185 |
∴ So the LCM of the given numbers is 5 x 147 x 185 = 135975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/135975
Therefore, the GCF of Fractions 7424/735,2136/925 is 8/135975
Least Common Multiple of 735,925 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 735,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,925) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(735,925) x common factors =5 x 1 = 5
LCM(735,925) = ( 735 × 925 ) / 5
LCM(735,925) = 679875 / 5
LCM(735,925) = 135975
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FAQs on GCF of Fractions of 7424/735, 2136/925
1. What is the HCF of 7424,2136?
The HCF of 7424,2136 is 8
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 7424/735, 2136/925?
Answer: GCF of Numerators as per given numbers 7424/735, 2136/925 is
GCF of Numerators i.e. for 7424,2136 is 8
LCM of denominators i.e. for 735,925 is 135975.
Thus, GCF of Fractions is 8/135975.Finally, GCF of Fractions for 7424/735, 2136/925 is 8/135975.