GCF of 5516/870, 3787/2635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5516/870, 3787/2635 i.e 7/458490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5516/870, 3787/2635.
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 5516/870,3787/2635?
Given fractions are 5516/870,3787/2635
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 5516/870,3787/2635, numerators are 5516,3787
Denominators are 870,2635
The GCF of 5516,3787 is 7 .
LCM of 870,2635 is 458490.
The greatest common factor of 5516/870,3787/2635 = [GCF of 5516,3787]/[LCM of 870,2635]= 7/458490
Therefore, the GCF of 5516/870,3787/2635 is 7/458490.
To find the highest common factor of 5516,3787, we have to find the factors of both numbers and list the highest common factor.
The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516
The factors of 3787 are 1, 7, 541, 3787
The HCF of 5516,3787 is 7.
Lets's calculate GCF of 5516,3787
| 7 | 5516, 3787 |
| 788, 541 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5516,3787 By Matching Biggest Common Factor Method
Now, list down the factors of 5516
:1,2,4,7,14,28,197,394,788,1379,2758,5516
Now, list down the factors of 3787
:1,7,541,3787
Greatest Common Factor
We found the factors 5516,3787 . The biggest common factor number is the GCF number.
So the greatest common factor 5516,3787 is 7.
Lets's calculate LCM of 870,2635
| 5 | 870, 2635 |
| 174, 527 |
∴ So the LCM of the given numbers is 5 x 174 x 527 = 458490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/458490
Therefore, the GCF of Fractions 5516/870,3787/2635 is 7/458490
Least Common Multiple of 870,2635 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 870,2635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,2635) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(870,2635) x common factors =5 x 1 = 5
LCM(870,2635) = ( 870 × 2635 ) / 5
LCM(870,2635) = 2292450 / 5
LCM(870,2635) = 458490
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FAQs on GCF of Fractions of 5516/870, 3787/2635
1. What is the HCF of 5516,3787?
The HCF of 5516,3787 is 7
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 5516/870, 3787/2635?
Answer: GCF of Numerators as per given numbers 5516/870, 3787/2635 is
GCF of Numerators i.e. for 5516,3787 is 7
LCM of denominators i.e. for 870,2635 is 458490.
Thus, GCF of Fractions is 7/458490.Finally, GCF of Fractions for 5516/870, 3787/2635 is 7/458490.