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GCF of 698/48, 794/941

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 698/48, 794/941 i.e 2/45168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/48, 794/941.

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 698/48,794/941?

Given fractions are 698/48,794/941

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 698/48,794/941, numerators are 698,794

Denominators are 48,941

The GCF of 698,794 is 2 .

LCM of 48,941 is 45168.

The greatest common factor of 698/48,794/941 = [GCF of 698,794]/[LCM of 48,941]= 2/45168

Therefore, the GCF of 698/48,794/941 is 2/45168.

Greatest Common Factor of 698,794

To find the highest common factor of 698,794, we have to find the factors of both numbers and list the highest common factor.

The factors of 698 are 1, 2, 349, 698

The factors of 794 are 1, 2, 397, 794

The HCF of 698,794 is 2.

Lets's calculate GCF of 698,794

Greatest Common Factor (GCF) of 698,794 By Common Division

2 698, 794
349, 397

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 698,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,794 By Matching Biggest Common Factor Method

Now, list down the factors of 698

:

1,2,349,698

Now, list down the factors of 794

:

1,2,397,794

Greatest Common Factor

We found the factors 698,794 . The biggest common factor number is the GCF number.
So the greatest common factor 698,794 is 2.

Lets's calculate LCM of 48,941

Lowest Common Multiple of 48,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 45168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45168

Therefore, the GCF of Fractions 698/48,794/941 is 2/45168

Least Common Multiple of 48,941 with GCF Formula

Least Common Multiple of 48,941 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 48,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,941) = 1

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

GCF(48,941) x common factors =1 x 1 = 1

LCM(48,941) = ( 48 × 941 ) / 1

LCM(48,941) = 45168 / 1

LCM(48,941) = 45168


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FAQs on GCF of Fractions of 698/48, 794/941

1. What is the HCF of 698,794?

The HCF of 698,794 is 2

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 698/48, 794/941?

Answer: GCF of Numerators as per given numbers 698/48, 794/941 is

GCF of Numerators i.e. for 698,794 is 2

LCM of denominators i.e. for 48,941 is 45168.

Thus, GCF of Fractions is 2/45168.Finally, GCF of Fractions for 698/48, 794/941 is 2/45168.