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GCF of 208/602, 7041/978

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 208/602, 7041/978 i.e 1/294378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/602, 7041/978.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 208/602,7041/978?

Given fractions are 208/602,7041/978

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 208/602,7041/978, numerators are 208,7041

Denominators are 602,978

The GCF of 208,7041 is 1 .

LCM of 602,978 is 294378.

The greatest common factor of 208/602,7041/978 = [GCF of 208,7041]/[LCM of 602,978]= 1/294378

Therefore, the GCF of 208/602,7041/978 is 1/294378.

Greatest Common Factor of 208,7041

To find the highest common factor of 208,7041, we have to find the factors of both numbers and list the highest common factor.

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The factors of 7041 are 1, 3, 2347, 7041

The HCF of 208,7041 is 1.

Lets's calculate GCF of 208,7041

Greatest Common Factor (GCF) of 208,7041 By Common Division

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

Greatest Common Factor of 208,7041 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,7041 By Matching Biggest Common Factor Method

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Now, list down the factors of 7041

:

1,3,2347,7041

Greatest Common Factor

We found the factors 208,7041 . The biggest common factor number is the GCF number.
So the greatest common factor 208,7041 is 1.

Lets's calculate LCM of 602,978

Lowest Common Multiple of 602,978 using Common Division

2 602, 978
301, 489

∴ So the LCM of the given numbers is 2 x 301 x 489 = 294378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294378

Therefore, the GCF of Fractions 208/602,7041/978 is 1/294378

Least Common Multiple of 602,978 with GCF Formula

Least Common Multiple of 602,978 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 602,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,978) = 2

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

GCF(602,978) x common factors =2 x 1 = 2

LCM(602,978) = ( 602 × 978 ) / 2

LCM(602,978) = 588756 / 2

LCM(602,978) = 294378


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FAQs on GCF of Fractions of 208/602, 7041/978

1. What is the HCF of 208,7041?

The HCF of 208,7041 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 208/602, 7041/978?

Answer: GCF of Numerators as per given numbers 208/602, 7041/978 is

GCF of Numerators i.e. for 208,7041 is 1

LCM of denominators i.e. for 602,978 is 294378.

Thus, GCF of Fractions is 1/294378.Finally, GCF of Fractions for 208/602, 7041/978 is 1/294378.