How to Find GCF of 3414/850, 6121/6120?

GCF of 3414/850, 6121/6120

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 3414/850, 6121/6120 i.e 1/30600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3414/850, 6121/6120.

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 3414/850,6121/6120?

Given fractions are 3414/850,6121/6120

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 3414/850,6121/6120, numerators are 3414,6121

Denominators are 850,6120

The GCF of 3414,6121 is 1 .

LCM of 850,6120 is 30600.

The greatest common factor of 3414/850,6121/6120 = [GCF of 3414,6121]/[LCM of 850,6120]= 1/30600

Therefore, the GCF of 3414/850,6121/6120 is 1/30600.

Greatest Common Factor of 3414,6121

To find the highest common factor of 3414,6121, we have to find the factors of both numbers and list the highest common factor.

The factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414

The factors of 6121 are 1, 6121

The HCF of 3414,6121 is 1.

Lets's calculate GCF of 3414,6121

Greatest Common Factor (GCF) of 3414,6121 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3414,6121 By Matching Biggest Common Factor Method

Now, list down the factors of 3414

1,2,3,6,569,1138,1707,3414

Now, list down the factors of 6121

1,6121

Greatest Common Factor

We found the factors 3414,6121 . The biggest common factor number is the GCF number.
So the greatest common factor 3414,6121 is 1.

Lets's calculate LCM of 850,6120

Lowest Common Multiple of 850,6120 using Common Division

2	850, 6120
5	425, 3060
17	85, 612
	5, 36

∴ So the LCM of the given numbers is 2 x 5 x 17 x 5 x 36 = 30600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30600

Therefore, the GCF of Fractions 3414/850,6121/6120 is 1/30600

Least Common Multiple of 850,6120 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 850,6120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,6120) = 170

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

GCF(850,6120) x common factors =170 x 1 = 170

LCM(850,6120) = ( 850 × 6120 ) / 170

LCM(850,6120) = 5202000 / 170

LCM(850,6120) = 30600

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FAQs on GCF of Fractions of 3414/850, 6121/6120

1. What is the HCF of 3414,6121?

The HCF of 3414,6121 is 1

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 3414/850, 6121/6120?

Answer: GCF of Numerators as per given numbers 3414/850, 6121/6120 is

GCF of Numerators i.e. for 3414,6121 is 1

LCM of denominators i.e. for 850,6120 is 30600.

Thus, GCF of Fractions is 1/30600.Finally, GCF of Fractions for 3414/850, 6121/6120 is 1/30600.