GCF of 5608/300, 3738/2759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5608/300, 3738/2759 i.e 2/827700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5608/300, 3738/2759.
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 5608/300,3738/2759?
Given fractions are 5608/300,3738/2759
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 5608/300,3738/2759, numerators are 5608,3738
Denominators are 300,2759
The GCF of 5608,3738 is 2 .
LCM of 300,2759 is 827700.
The greatest common factor of 5608/300,3738/2759 = [GCF of 5608,3738]/[LCM of 300,2759]= 2/827700
Therefore, the GCF of 5608/300,3738/2759 is 2/827700.
To find the highest common factor of 5608,3738, we have to find the factors of both numbers and list the highest common factor.
The factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The HCF of 5608,3738 is 2.
Lets's calculate GCF of 5608,3738
| 2 | 5608, 3738 |
| 2804, 1869 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5608,3738 By Matching Biggest Common Factor Method
Now, list down the factors of 5608
:1,2,4,8,701,1402,2804,5608
Now, list down the factors of 3738
:1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 5608,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 5608,3738 is 2.
Lets's calculate LCM of 300,2759
Given numbers has no common factors except 1. So, there LCM is their product i.e 827700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/827700
Therefore, the GCF of Fractions 5608/300,3738/2759 is 2/827700
Least Common Multiple of 300,2759 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 300,2759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,2759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(300,2759) x common factors =1 x 1 = 1
LCM(300,2759) = ( 300 × 2759 ) / 1
LCM(300,2759) = 827700 / 1
LCM(300,2759) = 827700
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FAQs on GCF of Fractions of 5608/300, 3738/2759
1. What is the HCF of 5608,3738?
The HCF of 5608,3738 is 2
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 5608/300, 3738/2759?
Answer: GCF of Numerators as per given numbers 5608/300, 3738/2759 is
GCF of Numerators i.e. for 5608,3738 is 2
LCM of denominators i.e. for 300,2759 is 827700.
Thus, GCF of Fractions is 2/827700.Finally, GCF of Fractions for 5608/300, 3738/2759 is 2/827700.