How to Find GCF of 5495/490, 1709/5837?

GCF of 5495/490, 1709/5837

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 5495/490, 1709/5837 i.e 1/2860130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5495/490, 1709/5837.

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 5495/490,1709/5837?

Given fractions are 5495/490,1709/5837

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 5495/490,1709/5837, numerators are 5495,1709

Denominators are 490,5837

The GCF of 5495,1709 is 1 .

LCM of 490,5837 is 2860130.

The greatest common factor of 5495/490,1709/5837 = [GCF of 5495,1709]/[LCM of 490,5837]= 1/2860130

Therefore, the GCF of 5495/490,1709/5837 is 1/2860130.

Greatest Common Factor of 5495,1709

To find the highest common factor of 5495,1709, we have to find the factors of both numbers and list the highest common factor.

The factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495

The factors of 1709 are 1, 1709

The HCF of 5495,1709 is 1.

Lets's calculate GCF of 5495,1709

Greatest Common Factor (GCF) of 5495,1709 By Common Division

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

Greatest Common Factor of 5495,1709 By Matching Biggest Common Factor Method

Now, list down the factors of 5495

1,5,7,35,157,785,1099,5495

Now, list down the factors of 1709

1,1709

Greatest Common Factor

We found the factors 5495,1709 . The biggest common factor number is the GCF number.
So the greatest common factor 5495,1709 is 1.

Lets's calculate LCM of 490,5837

Lowest Common Multiple of 490,5837 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2860130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2860130

Therefore, the GCF of Fractions 5495/490,1709/5837 is 1/2860130

Least Common Multiple of 490,5837 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 490,5837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,5837) = 1

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

GCF(490,5837) x common factors =1 x 1 = 1

LCM(490,5837) = ( 490 × 5837 ) / 1

LCM(490,5837) = 2860130 / 1

LCM(490,5837) = 2860130

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FAQs on GCF of Fractions of 5495/490, 1709/5837

1. What is the HCF of 5495,1709?

The HCF of 5495,1709 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 5495/490, 1709/5837?

Answer: GCF of Numerators as per given numbers 5495/490, 1709/5837 is

GCF of Numerators i.e. for 5495,1709 is 1

LCM of denominators i.e. for 490,5837 is 2860130.

Thus, GCF of Fractions is 1/2860130.Finally, GCF of Fractions for 5495/490, 1709/5837 is 1/2860130.