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GCF of 698/40, 416/853

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 698/40, 416/853 i.e 2/34120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/40, 416/853.

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 698/40,416/853?

Given fractions are 698/40,416/853

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 698/40,416/853, numerators are 698,416

Denominators are 40,853

The GCF of 698,416 is 2 .

LCM of 40,853 is 34120.

The greatest common factor of 698/40,416/853 = [GCF of 698,416]/[LCM of 40,853]= 2/34120

Therefore, the GCF of 698/40,416/853 is 2/34120.

Greatest Common Factor of 698,416

To find the highest common factor of 698,416, 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 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 698,416 is 2.

Lets's calculate GCF of 698,416

Greatest Common Factor (GCF) of 698,416 By Common Division

2 698, 416
349, 208

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

Greatest Common Factor of 698,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,416 By Matching Biggest Common Factor Method

Now, list down the factors of 698

:

1,2,349,698

Now, list down the factors of 416

:

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 698,416 . The biggest common factor number is the GCF number.
So the greatest common factor 698,416 is 2.

Lets's calculate LCM of 40,853

Lowest Common Multiple of 40,853 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34120

Therefore, the GCF of Fractions 698/40,416/853 is 2/34120

Least Common Multiple of 40,853 with GCF Formula

Least Common Multiple of 40,853 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 40,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,853) = 1

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

GCF(40,853) x common factors =1 x 1 = 1

LCM(40,853) = ( 40 × 853 ) / 1

LCM(40,853) = 34120 / 1

LCM(40,853) = 34120


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FAQs on GCF of Fractions of 698/40, 416/853

1. What is the HCF of 698,416?

The HCF of 698,416 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 698/40, 416/853?

Answer: GCF of Numerators as per given numbers 698/40, 416/853 is

GCF of Numerators i.e. for 698,416 is 2

LCM of denominators i.e. for 40,853 is 34120.

Thus, GCF of Fractions is 2/34120.Finally, GCF of Fractions for 698/40, 416/853 is 2/34120.