How to Find GCF of 6849/499, 1028/7757?

GCF of 6849/499, 1028/7757

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 6849/499, 1028/7757 i.e 1/3870743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6849/499, 1028/7757.

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 6849/499,1028/7757?

Given fractions are 6849/499,1028/7757

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 6849/499,1028/7757, numerators are 6849,1028

Denominators are 499,7757

The GCF of 6849,1028 is 1 .

LCM of 499,7757 is 3870743.

The greatest common factor of 6849/499,1028/7757 = [GCF of 6849,1028]/[LCM of 499,7757]= 1/3870743

Therefore, the GCF of 6849/499,1028/7757 is 1/3870743.

Greatest Common Factor of 6849,1028

To find the highest common factor of 6849,1028, we have to find the factors of both numbers and list the highest common factor.

The factors of 6849 are 1, 3, 9, 761, 2283, 6849

The factors of 1028 are 1, 2, 4, 257, 514, 1028

The HCF of 6849,1028 is 1.

Lets's calculate GCF of 6849,1028

Greatest Common Factor (GCF) of 6849,1028 By Common Division

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

Greatest Common Factor of 6849,1028 By Matching Biggest Common Factor Method

Now, list down the factors of 6849

1,3,9,761,2283,6849

Now, list down the factors of 1028

1,2,4,257,514,1028

Greatest Common Factor

We found the factors 6849,1028 . The biggest common factor number is the GCF number.
So the greatest common factor 6849,1028 is 1.

Lets's calculate LCM of 499,7757

Lowest Common Multiple of 499,7757 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3870743

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3870743

Therefore, the GCF of Fractions 6849/499,1028/7757 is 1/3870743

Least Common Multiple of 499,7757 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 499,7757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,7757) = 1

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

GCF(499,7757) x common factors =1 x 1 = 1

LCM(499,7757) = ( 499 × 7757 ) / 1

LCM(499,7757) = 3870743 / 1

LCM(499,7757) = 3870743

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FAQs on GCF of Fractions of 6849/499, 1028/7757

1. What is the HCF of 6849,1028?

The HCF of 6849,1028 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 6849/499, 1028/7757?

Answer: GCF of Numerators as per given numbers 6849/499, 1028/7757 is

GCF of Numerators i.e. for 6849,1028 is 1

LCM of denominators i.e. for 499,7757 is 3870743.

Thus, GCF of Fractions is 1/3870743.Finally, GCF of Fractions for 6849/499, 1028/7757 is 1/3870743.