How to Find GCF of 1550/447, 5706/7964?

GCF of 1550/447, 5706/7964

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1550/447, 5706/7964 i.e 2/3559908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1550/447, 5706/7964.

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 1550/447,5706/7964?

Given fractions are 1550/447,5706/7964

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 1550/447,5706/7964, numerators are 1550,5706

Denominators are 447,7964

The GCF of 1550,5706 is 2 .

LCM of 447,7964 is 3559908.

The greatest common factor of 1550/447,5706/7964 = [GCF of 1550,5706]/[LCM of 447,7964]= 2/3559908

Therefore, the GCF of 1550/447,5706/7964 is 2/3559908.

Greatest Common Factor of 1550,5706

To find the highest common factor of 1550,5706, we have to find the factors of both numbers and list the highest common factor.

The factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550

The factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706

The HCF of 1550,5706 is 2.

Lets's calculate GCF of 1550,5706

Greatest Common Factor (GCF) of 1550,5706 By Common Division

2	1550, 5706
	775, 2853

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1550,5706 By Matching Biggest Common Factor Method

Now, list down the factors of 1550

1,2,5,10,25,31,50,62,155,310,775,1550

Now, list down the factors of 5706

1,2,3,6,9,18,317,634,951,1902,2853,5706

Greatest Common Factor

We found the factors 1550,5706 . The biggest common factor number is the GCF number.
So the greatest common factor 1550,5706 is 2.

Lets's calculate LCM of 447,7964

Lowest Common Multiple of 447,7964 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3559908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3559908

Therefore, the GCF of Fractions 1550/447,5706/7964 is 2/3559908

Least Common Multiple of 447,7964 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 447,7964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,7964) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(447,7964) x common factors =1 x 1 = 1

LCM(447,7964) = ( 447 × 7964 ) / 1

LCM(447,7964) = 3559908 / 1

LCM(447,7964) = 3559908

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FAQs on GCF of Fractions of 1550/447, 5706/7964

1. What is the HCF of 1550,5706?

The HCF of 1550,5706 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 1550/447, 5706/7964?

Answer: GCF of Numerators as per given numbers 1550/447, 5706/7964 is

GCF of Numerators i.e. for 1550,5706 is 2

LCM of denominators i.e. for 447,7964 is 3559908.

Thus, GCF of Fractions is 2/3559908.Finally, GCF of Fractions for 1550/447, 5706/7964 is 2/3559908.