How to Find GCF of 6850/612, 1906/121?

GCF of 6850/612, 1906/121

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 6850/612, 1906/121 i.e 2/74052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6850/612, 1906/121.

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 6850/612,1906/121?

Given fractions are 6850/612,1906/121

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 6850/612,1906/121, numerators are 6850,1906

Denominators are 612,121

The GCF of 6850,1906 is 2 .

LCM of 612,121 is 74052.

The greatest common factor of 6850/612,1906/121 = [GCF of 6850,1906]/[LCM of 612,121]= 2/74052

Therefore, the GCF of 6850/612,1906/121 is 2/74052.

Greatest Common Factor of 6850,1906

To find the highest common factor of 6850,1906, we have to find the factors of both numbers and list the highest common factor.

The factors of 6850 are 1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850

The factors of 1906 are 1, 2, 953, 1906

The HCF of 6850,1906 is 2.

Lets's calculate GCF of 6850,1906

Greatest Common Factor (GCF) of 6850,1906 By Common Division

2	6850, 1906
	3425, 953

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

Greatest Common Factor of 6850,1906 By Matching Biggest Common Factor Method

Now, list down the factors of 6850

1,2,5,10,25,50,137,274,685,1370,3425,6850

Now, list down the factors of 1906

1,2,953,1906

Greatest Common Factor

We found the factors 6850,1906 . The biggest common factor number is the GCF number.
So the greatest common factor 6850,1906 is 2.

Lets's calculate LCM of 612,121

Lowest Common Multiple of 612,121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 74052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74052

Therefore, the GCF of Fractions 6850/612,1906/121 is 2/74052

Least Common Multiple of 612,121 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 612,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,121) = 1

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

GCF(612,121) x common factors =1 x 1 = 1

LCM(612,121) = ( 612 × 121 ) / 1

LCM(612,121) = 74052 / 1

LCM(612,121) = 74052

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FAQs on GCF of Fractions of 6850/612, 1906/121

1. What is the HCF of 6850,1906?

The HCF of 6850,1906 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 6850/612, 1906/121?

Answer: GCF of Numerators as per given numbers 6850/612, 1906/121 is

GCF of Numerators i.e. for 6850,1906 is 2

LCM of denominators i.e. for 612,121 is 74052.

Thus, GCF of Fractions is 2/74052.Finally, GCF of Fractions for 6850/612, 1906/121 is 2/74052.