How to Find GCF of 1691/648, 4627/3720?

GCF of 1691/648, 4627/3720

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 1691/648, 4627/3720 i.e 1/100440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1691/648, 4627/3720.

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 1691/648,4627/3720?

Given fractions are 1691/648,4627/3720

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 1691/648,4627/3720, numerators are 1691,4627

Denominators are 648,3720

The GCF of 1691,4627 is 1 .

LCM of 648,3720 is 100440.

The greatest common factor of 1691/648,4627/3720 = [GCF of 1691,4627]/[LCM of 648,3720]= 1/100440

Therefore, the GCF of 1691/648,4627/3720 is 1/100440.

Greatest Common Factor of 1691,4627

To find the highest common factor of 1691,4627, we have to find the factors of both numbers and list the highest common factor.

The factors of 1691 are 1, 19, 89, 1691

The factors of 4627 are 1, 7, 661, 4627

The HCF of 1691,4627 is 1.

Lets's calculate GCF of 1691,4627

Greatest Common Factor (GCF) of 1691,4627 By Common Division

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

Greatest Common Factor of 1691,4627 By Matching Biggest Common Factor Method

Now, list down the factors of 1691

1,19,89,1691

Now, list down the factors of 4627

1,7,661,4627

Greatest Common Factor

We found the factors 1691,4627 . The biggest common factor number is the GCF number.
So the greatest common factor 1691,4627 is 1.

Lets's calculate LCM of 648,3720

Lowest Common Multiple of 648,3720 using Common Division

2	648, 3720
2	324, 1860
2	162, 930
3	81, 465
	27, 155

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 27 x 155 = 100440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100440

Therefore, the GCF of Fractions 1691/648,4627/3720 is 1/100440

Least Common Multiple of 648,3720 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 648,3720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,3720) = 24

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

GCF(648,3720) x common factors =24 x 1 = 24

LCM(648,3720) = ( 648 × 3720 ) / 24

LCM(648,3720) = 2410560 / 24

LCM(648,3720) = 100440

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FAQs on GCF of Fractions of 1691/648, 4627/3720

1. What is the HCF of 1691,4627?

The HCF of 1691,4627 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 1691/648, 4627/3720?

Answer: GCF of Numerators as per given numbers 1691/648, 4627/3720 is

GCF of Numerators i.e. for 1691,4627 is 1

LCM of denominators i.e. for 648,3720 is 100440.

Thus, GCF of Fractions is 1/100440.Finally, GCF of Fractions for 1691/648, 4627/3720 is 1/100440.