GCF of 5672/648, 7836/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5672/648, 7836/746 i.e 4/241704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5672/648, 7836/746.
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 5672/648,7836/746?
Given fractions are 5672/648,7836/746
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 5672/648,7836/746, numerators are 5672,7836
Denominators are 648,746
The GCF of 5672,7836 is 4 .
LCM of 648,746 is 241704.
The greatest common factor of 5672/648,7836/746 = [GCF of 5672,7836]/[LCM of 648,746]= 4/241704
Therefore, the GCF of 5672/648,7836/746 is 4/241704.
To find the highest common factor of 5672,7836, we have to find the factors of both numbers and list the highest common factor.
The factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The HCF of 5672,7836 is 4.
Lets's calculate GCF of 5672,7836
| 2 | 5672, 7836 |
| 2 | 2836, 3918 |
| 1418, 1959 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5672,7836 By Matching Biggest Common Factor Method
Now, list down the factors of 5672
:1,2,4,8,709,1418,2836,5672
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Greatest Common Factor
We found the factors 5672,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 5672,7836 is 4.
Lets's calculate LCM of 648,746
| 2 | 648, 746 |
| 324, 373 |
∴ So the LCM of the given numbers is 2 x 324 x 373 = 241704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/241704
Therefore, the GCF of Fractions 5672/648,7836/746 is 4/241704
Least Common Multiple of 648,746 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 648,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,746) x common factors =2 x 1 = 2
LCM(648,746) = ( 648 × 746 ) / 2
LCM(648,746) = 483408 / 2
LCM(648,746) = 241704
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FAQs on GCF of Fractions of 5672/648, 7836/746
1. What is the HCF of 5672,7836?
The HCF of 5672,7836 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 5672/648, 7836/746?
Answer: GCF of Numerators as per given numbers 5672/648, 7836/746 is
GCF of Numerators i.e. for 5672,7836 is 4
LCM of denominators i.e. for 648,746 is 241704.
Thus, GCF of Fractions is 4/241704.Finally, GCF of Fractions for 5672/648, 7836/746 is 4/241704.