How to Find GCF of 2207/162, 9986/650?

GCF of 2207/162, 9986/650

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 2207/162, 9986/650 i.e 1/52650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2207/162, 9986/650.

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 2207/162,9986/650?

Given fractions are 2207/162,9986/650

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 2207/162,9986/650, numerators are 2207,9986

Denominators are 162,650

The GCF of 2207,9986 is 1 .

LCM of 162,650 is 52650.

The greatest common factor of 2207/162,9986/650 = [GCF of 2207,9986]/[LCM of 162,650]= 1/52650

Therefore, the GCF of 2207/162,9986/650 is 1/52650.

Greatest Common Factor of 2207,9986

To find the highest common factor of 2207,9986, we have to find the factors of both numbers and list the highest common factor.

The factors of 2207 are 1, 2207

The factors of 9986 are 1, 2, 4993, 9986

The HCF of 2207,9986 is 1.

Lets's calculate GCF of 2207,9986

Greatest Common Factor (GCF) of 2207,9986 By Common Division

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

Greatest Common Factor of 2207,9986 By Matching Biggest Common Factor Method

Now, list down the factors of 2207

1,2207

Now, list down the factors of 9986

1,2,4993,9986

Greatest Common Factor

We found the factors 2207,9986 . The biggest common factor number is the GCF number.
So the greatest common factor 2207,9986 is 1.

Lets's calculate LCM of 162,650

Lowest Common Multiple of 162,650 using Common Division

2	162, 650
	81, 325

∴ So the LCM of the given numbers is 2 x 81 x 325 = 52650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52650

Therefore, the GCF of Fractions 2207/162,9986/650 is 1/52650

Least Common Multiple of 162,650 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 162,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,650) = 2

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

GCF(162,650) x common factors =2 x 1 = 2

LCM(162,650) = ( 162 × 650 ) / 2

LCM(162,650) = 105300 / 2

LCM(162,650) = 52650

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FAQs on GCF of Fractions of 2207/162, 9986/650

1. What is the HCF of 2207,9986?

The HCF of 2207,9986 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 2207/162, 9986/650?

Answer: GCF of Numerators as per given numbers 2207/162, 9986/650 is

GCF of Numerators i.e. for 2207,9986 is 1

LCM of denominators i.e. for 162,650 is 52650.

Thus, GCF of Fractions is 1/52650.Finally, GCF of Fractions for 2207/162, 9986/650 is 1/52650.