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GCF of 207/48, 109/166

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 207/48, 109/166 i.e 1/3984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/48, 109/166.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 207/48,109/166?

Given fractions are 207/48,109/166

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 207/48,109/166, numerators are 207,109

Denominators are 48,166

The GCF of 207,109 is 1 .

LCM of 48,166 is 3984.

The greatest common factor of 207/48,109/166 = [GCF of 207,109]/[LCM of 48,166]= 1/3984

Therefore, the GCF of 207/48,109/166 is 1/3984.

Greatest Common Factor of 207,109

To find the highest common factor of 207,109, we have to find the factors of both numbers and list the highest common factor.

The factors of 207 are 1, 3, 9, 23, 69, 207

The factors of 109 are 1, 109

The HCF of 207,109 is 1.

Lets's calculate GCF of 207,109

Greatest Common Factor (GCF) of 207,109 By Common Division

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

Greatest Common Factor of 207,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,109 By Matching Biggest Common Factor Method

Now, list down the factors of 207

:

1,3,9,23,69,207

Now, list down the factors of 109

:

1,109

Greatest Common Factor

We found the factors 207,109 . The biggest common factor number is the GCF number.
So the greatest common factor 207,109 is 1.

Lets's calculate LCM of 48,166

Lowest Common Multiple of 48,166 using Common Division

2 48, 166
24, 83

∴ So the LCM of the given numbers is 2 x 24 x 83 = 3984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3984

Therefore, the GCF of Fractions 207/48,109/166 is 1/3984

Least Common Multiple of 48,166 with GCF Formula

Least Common Multiple of 48,166 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 48,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,166) = 2

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

GCF(48,166) x common factors =2 x 1 = 2

LCM(48,166) = ( 48 × 166 ) / 2

LCM(48,166) = 7968 / 2

LCM(48,166) = 3984


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FAQs on GCF of Fractions of 207/48, 109/166

1. What is the HCF of 207,109?

The HCF of 207,109 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 207/48, 109/166?

Answer: GCF of Numerators as per given numbers 207/48, 109/166 is

GCF of Numerators i.e. for 207,109 is 1

LCM of denominators i.e. for 48,166 is 3984.

Thus, GCF of Fractions is 1/3984.Finally, GCF of Fractions for 207/48, 109/166 is 1/3984.