How to Find GCF of 2207/785, 2470/5449?

GCF of 2207/785, 2470/5449

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 2207/785, 2470/5449 i.e 1/4277465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2207/785, 2470/5449.

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 2207/785,2470/5449?

Given fractions are 2207/785,2470/5449

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 2207/785,2470/5449, numerators are 2207,2470

Denominators are 785,5449

The GCF of 2207,2470 is 1 .

LCM of 785,5449 is 4277465.

The greatest common factor of 2207/785,2470/5449 = [GCF of 2207,2470]/[LCM of 785,5449]= 1/4277465

Therefore, the GCF of 2207/785,2470/5449 is 1/4277465.

Greatest Common Factor of 2207,2470

To find the highest common factor of 2207,2470, 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 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

The HCF of 2207,2470 is 1.

Lets's calculate GCF of 2207,2470

Greatest Common Factor (GCF) of 2207,2470 By Common Division

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

Greatest Common Factor of 2207,2470 By Matching Biggest Common Factor Method

Now, list down the factors of 2207

1,2207

Now, list down the factors of 2470

1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470

Greatest Common Factor

We found the factors 2207,2470 . The biggest common factor number is the GCF number.
So the greatest common factor 2207,2470 is 1.

Lets's calculate LCM of 785,5449

Lowest Common Multiple of 785,5449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4277465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4277465

Therefore, the GCF of Fractions 2207/785,2470/5449 is 1/4277465

Least Common Multiple of 785,5449 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 785,5449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,5449) = 1

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

GCF(785,5449) x common factors =1 x 1 = 1

LCM(785,5449) = ( 785 × 5449 ) / 1

LCM(785,5449) = 4277465 / 1

LCM(785,5449) = 4277465

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FAQs on GCF of Fractions of 2207/785, 2470/5449

1. What is the HCF of 2207,2470?

The HCF of 2207,2470 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 2207/785, 2470/5449?

Answer: GCF of Numerators as per given numbers 2207/785, 2470/5449 is

GCF of Numerators i.e. for 2207,2470 is 1

LCM of denominators i.e. for 785,5449 is 4277465.

Thus, GCF of Fractions is 1/4277465.Finally, GCF of Fractions for 2207/785, 2470/5449 is 1/4277465.