How to Find GCF of 849/667, 6802/753?

GCF of 849/667, 6802/753

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 849/667, 6802/753 i.e 1/502251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/667, 6802/753.

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 849/667,6802/753?

Given fractions are 849/667,6802/753

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 849/667,6802/753, numerators are 849,6802

Denominators are 667,753

The GCF of 849,6802 is 1 .

LCM of 667,753 is 502251.

The greatest common factor of 849/667,6802/753 = [GCF of 849,6802]/[LCM of 667,753]= 1/502251

Therefore, the GCF of 849/667,6802/753 is 1/502251.

Greatest Common Factor of 849,6802

To find the highest common factor of 849,6802, we have to find the factors of both numbers and list the highest common factor.

The factors of 849 are 1, 3, 283, 849

The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802

The HCF of 849,6802 is 1.

Lets's calculate GCF of 849,6802

Greatest Common Factor (GCF) of 849,6802 By Common Division

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

Greatest Common Factor of 849,6802 By Matching Biggest Common Factor Method

Now, list down the factors of 849

1,3,283,849

Now, list down the factors of 6802

1,2,19,38,179,358,3401,6802

Greatest Common Factor

We found the factors 849,6802 . The biggest common factor number is the GCF number.
So the greatest common factor 849,6802 is 1.

Lets's calculate LCM of 667,753

Lowest Common Multiple of 667,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 502251

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502251

Therefore, the GCF of Fractions 849/667,6802/753 is 1/502251

Least Common Multiple of 667,753 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 667,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,753) = 1

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

GCF(667,753) x common factors =1 x 1 = 1

LCM(667,753) = ( 667 × 753 ) / 1

LCM(667,753) = 502251 / 1

LCM(667,753) = 502251

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FAQs on GCF of Fractions of 849/667, 6802/753

1. What is the HCF of 849,6802?

The HCF of 849,6802 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 849/667, 6802/753?

Answer: GCF of Numerators as per given numbers 849/667, 6802/753 is

GCF of Numerators i.e. for 849,6802 is 1

LCM of denominators i.e. for 667,753 is 502251.

Thus, GCF of Fractions is 1/502251.Finally, GCF of Fractions for 849/667, 6802/753 is 1/502251.