How to Find GCF of 6770/975, 4203/1406?

GCF of 6770/975, 4203/1406

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 6770/975, 4203/1406 i.e 1/1370850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6770/975, 4203/1406.

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 6770/975,4203/1406?

Given fractions are 6770/975,4203/1406

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 6770/975,4203/1406, numerators are 6770,4203

Denominators are 975,1406

The GCF of 6770,4203 is 1 .

LCM of 975,1406 is 1370850.

The greatest common factor of 6770/975,4203/1406 = [GCF of 6770,4203]/[LCM of 975,1406]= 1/1370850

Therefore, the GCF of 6770/975,4203/1406 is 1/1370850.

Greatest Common Factor of 6770,4203

To find the highest common factor of 6770,4203, we have to find the factors of both numbers and list the highest common factor.

The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770

The factors of 4203 are 1, 3, 9, 467, 1401, 4203

The HCF of 6770,4203 is 1.

Lets's calculate GCF of 6770,4203

Greatest Common Factor (GCF) of 6770,4203 By Common Division

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

Greatest Common Factor of 6770,4203 By Matching Biggest Common Factor Method

Now, list down the factors of 6770

1,2,5,10,677,1354,3385,6770

Now, list down the factors of 4203

1,3,9,467,1401,4203

Greatest Common Factor

We found the factors 6770,4203 . The biggest common factor number is the GCF number.
So the greatest common factor 6770,4203 is 1.

Lets's calculate LCM of 975,1406

Lowest Common Multiple of 975,1406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1370850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1370850

Therefore, the GCF of Fractions 6770/975,4203/1406 is 1/1370850

Least Common Multiple of 975,1406 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 975,1406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,1406) = 1

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

GCF(975,1406) x common factors =1 x 1 = 1

LCM(975,1406) = ( 975 × 1406 ) / 1

LCM(975,1406) = 1370850 / 1

LCM(975,1406) = 1370850

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FAQs on GCF of Fractions of 6770/975, 4203/1406

1. What is the HCF of 6770,4203?

The HCF of 6770,4203 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 6770/975, 4203/1406?

Answer: GCF of Numerators as per given numbers 6770/975, 4203/1406 is

GCF of Numerators i.e. for 6770,4203 is 1

LCM of denominators i.e. for 975,1406 is 1370850.

Thus, GCF of Fractions is 1/1370850.Finally, GCF of Fractions for 6770/975, 4203/1406 is 1/1370850.