How to Find GCF of 1970/408, 3882/7745?

GCF of 1970/408, 3882/7745

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 1970/408, 3882/7745 i.e 2/3159960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1970/408, 3882/7745.

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 1970/408,3882/7745?

Given fractions are 1970/408,3882/7745

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 1970/408,3882/7745, numerators are 1970,3882

Denominators are 408,7745

The GCF of 1970,3882 is 2 .

LCM of 408,7745 is 3159960.

The greatest common factor of 1970/408,3882/7745 = [GCF of 1970,3882]/[LCM of 408,7745]= 2/3159960

Therefore, the GCF of 1970/408,3882/7745 is 2/3159960.

Greatest Common Factor of 1970,3882

To find the highest common factor of 1970,3882, we have to find the factors of both numbers and list the highest common factor.

The factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970

The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882

The HCF of 1970,3882 is 2.

Lets's calculate GCF of 1970,3882

Greatest Common Factor (GCF) of 1970,3882 By Common Division

2	1970, 3882
	985, 1941

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

Greatest Common Factor of 1970,3882 By Matching Biggest Common Factor Method

Now, list down the factors of 1970

1,2,5,10,197,394,985,1970

Now, list down the factors of 3882

1,2,3,6,647,1294,1941,3882

Greatest Common Factor

We found the factors 1970,3882 . The biggest common factor number is the GCF number.
So the greatest common factor 1970,3882 is 2.

Lets's calculate LCM of 408,7745

Lowest Common Multiple of 408,7745 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3159960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3159960

Therefore, the GCF of Fractions 1970/408,3882/7745 is 2/3159960

Least Common Multiple of 408,7745 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 408,7745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,7745) = 1

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

GCF(408,7745) x common factors =1 x 1 = 1

LCM(408,7745) = ( 408 × 7745 ) / 1

LCM(408,7745) = 3159960 / 1

LCM(408,7745) = 3159960

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FAQs on GCF of Fractions of 1970/408, 3882/7745

1. What is the HCF of 1970,3882?

The HCF of 1970,3882 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 1970/408, 3882/7745?

Answer: GCF of Numerators as per given numbers 1970/408, 3882/7745 is

GCF of Numerators i.e. for 1970,3882 is 2

LCM of denominators i.e. for 408,7745 is 3159960.

Thus, GCF of Fractions is 2/3159960.Finally, GCF of Fractions for 1970/408, 3882/7745 is 2/3159960.