How to Find GCF of 1474/770, 3557/2740?

GCF of 1474/770, 3557/2740

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 1474/770, 3557/2740 i.e 1/210980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1474/770, 3557/2740.

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 1474/770,3557/2740?

Given fractions are 1474/770,3557/2740

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 1474/770,3557/2740, numerators are 1474,3557

Denominators are 770,2740

The GCF of 1474,3557 is 1 .

LCM of 770,2740 is 210980.

The greatest common factor of 1474/770,3557/2740 = [GCF of 1474,3557]/[LCM of 770,2740]= 1/210980

Therefore, the GCF of 1474/770,3557/2740 is 1/210980.

Greatest Common Factor of 1474,3557

To find the highest common factor of 1474,3557, we have to find the factors of both numbers and list the highest common factor.

The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474

The factors of 3557 are 1, 3557

The HCF of 1474,3557 is 1.

Lets's calculate GCF of 1474,3557

Greatest Common Factor (GCF) of 1474,3557 By Common Division

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

Greatest Common Factor of 1474,3557 By Matching Biggest Common Factor Method

Now, list down the factors of 1474

1,2,11,22,67,134,737,1474

Now, list down the factors of 3557

1,3557

Greatest Common Factor

We found the factors 1474,3557 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,3557 is 1.

Lets's calculate LCM of 770,2740

Lowest Common Multiple of 770,2740 using Common Division

2	770, 2740
5	385, 1370
	77, 274

∴ So the LCM of the given numbers is 2 x 5 x 77 x 274 = 210980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210980

Therefore, the GCF of Fractions 1474/770,3557/2740 is 1/210980

Least Common Multiple of 770,2740 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 770,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,2740) = 10

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

GCF(770,2740) x common factors =10 x 1 = 10

LCM(770,2740) = ( 770 × 2740 ) / 10

LCM(770,2740) = 2109800 / 10

LCM(770,2740) = 210980

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FAQs on GCF of Fractions of 1474/770, 3557/2740

1. What is the HCF of 1474,3557?

The HCF of 1474,3557 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 1474/770, 3557/2740?

Answer: GCF of Numerators as per given numbers 1474/770, 3557/2740 is

GCF of Numerators i.e. for 1474,3557 is 1

LCM of denominators i.e. for 770,2740 is 210980.

Thus, GCF of Fractions is 1/210980.Finally, GCF of Fractions for 1474/770, 3557/2740 is 1/210980.