How to Find GCF of 698/17, 880/6674?

GCF of 698/17, 880/6674

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 698/17, 880/6674 i.e 2/113458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/17, 880/6674.

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 698/17,880/6674?

Given fractions are 698/17,880/6674

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 698/17,880/6674, numerators are 698,880

Denominators are 17,6674

The GCF of 698,880 is 2 .

LCM of 17,6674 is 113458.

The greatest common factor of 698/17,880/6674 = [GCF of 698,880]/[LCM of 17,6674]= 2/113458

Therefore, the GCF of 698/17,880/6674 is 2/113458.

Greatest Common Factor of 698,880

To find the highest common factor of 698,880, 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 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

The HCF of 698,880 is 2.

Lets's calculate GCF of 698,880

Greatest Common Factor (GCF) of 698,880 By Common Division

2	698, 880
	349, 440

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

Greatest Common Factor of 698,880 By Matching Biggest Common Factor Method

Now, list down the factors of 698

1,2,349,698

Now, list down the factors of 880

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 698,880 . The biggest common factor number is the GCF number.
So the greatest common factor 698,880 is 2.

Lets's calculate LCM of 17,6674

Lowest Common Multiple of 17,6674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 113458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113458

Therefore, the GCF of Fractions 698/17,880/6674 is 2/113458

Least Common Multiple of 17,6674 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 17,6674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,6674) = 1

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

GCF(17,6674) x common factors =1 x 1 = 1

LCM(17,6674) = ( 17 × 6674 ) / 1

LCM(17,6674) = 113458 / 1

LCM(17,6674) = 113458

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 698/17, 880/6674

1. What is the HCF of 698,880?

The HCF of 698,880 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 698/17, 880/6674?

Answer: GCF of Numerators as per given numbers 698/17, 880/6674 is

GCF of Numerators i.e. for 698,880 is 2

LCM of denominators i.e. for 17,6674 is 113458.

Thus, GCF of Fractions is 2/113458.Finally, GCF of Fractions for 698/17, 880/6674 is 2/113458.