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GCF of 834/918, 100/838

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 834/918, 100/838 i.e 2/384642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/918, 100/838.

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 834/918,100/838?

Given fractions are 834/918,100/838

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 834/918,100/838, numerators are 834,100

Denominators are 918,838

The GCF of 834,100 is 2 .

LCM of 918,838 is 384642.

The greatest common factor of 834/918,100/838 = [GCF of 834,100]/[LCM of 918,838]= 2/384642

Therefore, the GCF of 834/918,100/838 is 2/384642.

Greatest Common Factor of 834,100

To find the highest common factor of 834,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 834,100 is 2.

Lets's calculate GCF of 834,100

Greatest Common Factor (GCF) of 834,100 By Common Division

2 834, 100
417, 50

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

Greatest Common Factor of 834,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,100 By Matching Biggest Common Factor Method

Now, list down the factors of 834

:

1,2,3,6,139,278,417,834

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 834,100 . The biggest common factor number is the GCF number.
So the greatest common factor 834,100 is 2.

Lets's calculate LCM of 918,838

Lowest Common Multiple of 918,838 using Common Division

2 918, 838
459, 419

∴ So the LCM of the given numbers is 2 x 459 x 419 = 384642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/384642

Therefore, the GCF of Fractions 834/918,100/838 is 2/384642

Least Common Multiple of 918,838 with GCF Formula

Least Common Multiple of 918,838 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 918,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,838) = 2

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

GCF(918,838) x common factors =2 x 1 = 2

LCM(918,838) = ( 918 × 838 ) / 2

LCM(918,838) = 769284 / 2

LCM(918,838) = 384642


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FAQs on GCF of Fractions of 834/918, 100/838

1. What is the HCF of 834,100?

The HCF of 834,100 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 834/918, 100/838?

Answer: GCF of Numerators as per given numbers 834/918, 100/838 is

GCF of Numerators i.e. for 834,100 is 2

LCM of denominators i.e. for 918,838 is 384642.

Thus, GCF of Fractions is 2/384642.Finally, GCF of Fractions for 834/918, 100/838 is 2/384642.