How to Find GCF of 2950/297, 3768/9778?

GCF of 2950/297, 3768/9778

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 2950/297, 3768/9778 i.e 2/2904066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2950/297, 3768/9778.

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 2950/297,3768/9778?

Given fractions are 2950/297,3768/9778

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 2950/297,3768/9778, numerators are 2950,3768

Denominators are 297,9778

The GCF of 2950,3768 is 2 .

LCM of 297,9778 is 2904066.

The greatest common factor of 2950/297,3768/9778 = [GCF of 2950,3768]/[LCM of 297,9778]= 2/2904066

Therefore, the GCF of 2950/297,3768/9778 is 2/2904066.

Greatest Common Factor of 2950,3768

To find the highest common factor of 2950,3768, we have to find the factors of both numbers and list the highest common factor.

The factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950

The factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768

The HCF of 2950,3768 is 2.

Lets's calculate GCF of 2950,3768

Greatest Common Factor (GCF) of 2950,3768 By Common Division

2	2950, 3768
	1475, 1884

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

Greatest Common Factor of 2950,3768 By Matching Biggest Common Factor Method

Now, list down the factors of 2950

1,2,5,10,25,50,59,118,295,590,1475,2950

Now, list down the factors of 3768

1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768

Greatest Common Factor

We found the factors 2950,3768 . The biggest common factor number is the GCF number.
So the greatest common factor 2950,3768 is 2.

Lets's calculate LCM of 297,9778

Lowest Common Multiple of 297,9778 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2904066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2904066

Therefore, the GCF of Fractions 2950/297,3768/9778 is 2/2904066

Least Common Multiple of 297,9778 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 297,9778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,9778) = 1

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

GCF(297,9778) x common factors =1 x 1 = 1

LCM(297,9778) = ( 297 × 9778 ) / 1

LCM(297,9778) = 2904066 / 1

LCM(297,9778) = 2904066

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2950/297, 3768/9778

1. What is the HCF of 2950,3768?

The HCF of 2950,3768 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 2950/297, 3768/9778?

Answer: GCF of Numerators as per given numbers 2950/297, 3768/9778 is

GCF of Numerators i.e. for 2950,3768 is 2

LCM of denominators i.e. for 297,9778 is 2904066.

Thus, GCF of Fractions is 2/2904066.Finally, GCF of Fractions for 2950/297, 3768/9778 is 2/2904066.