How to Find GCF of 4018/688, 1211/376?

GCF of 4018/688, 1211/376

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 4018/688, 1211/376 i.e 7/32336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4018/688, 1211/376.

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 4018/688,1211/376?

Given fractions are 4018/688,1211/376

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 4018/688,1211/376, numerators are 4018,1211

Denominators are 688,376

The GCF of 4018,1211 is 7 .

LCM of 688,376 is 32336.

The greatest common factor of 4018/688,1211/376 = [GCF of 4018,1211]/[LCM of 688,376]= 7/32336

Therefore, the GCF of 4018/688,1211/376 is 7/32336.

Greatest Common Factor of 4018,1211

To find the highest common factor of 4018,1211, we have to find the factors of both numbers and list the highest common factor.

The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018

The factors of 1211 are 1, 7, 173, 1211

The HCF of 4018,1211 is 7.

Lets's calculate GCF of 4018,1211

Greatest Common Factor (GCF) of 4018,1211 By Common Division

7	4018, 1211
	574, 173

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4018,1211 By Matching Biggest Common Factor Method

Now, list down the factors of 4018

1,2,7,14,41,49,82,98,287,574,2009,4018

Now, list down the factors of 1211

1,7,173,1211

Greatest Common Factor

We found the factors 4018,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 4018,1211 is 7.

Lets's calculate LCM of 688,376

Lowest Common Multiple of 688,376 using Common Division

2	688, 376
2	344, 188
2	172, 94
	86, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 47 = 32336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/32336

Therefore, the GCF of Fractions 4018/688,1211/376 is 7/32336

Least Common Multiple of 688,376 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 688,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,376) = 8

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

GCF(688,376) x common factors =8 x 1 = 8

LCM(688,376) = ( 688 × 376 ) / 8

LCM(688,376) = 258688 / 8

LCM(688,376) = 32336

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FAQs on GCF of Fractions of 4018/688, 1211/376

1. What is the HCF of 4018,1211?

The HCF of 4018,1211 is 7

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 4018/688, 1211/376?

Answer: GCF of Numerators as per given numbers 4018/688, 1211/376 is

GCF of Numerators i.e. for 4018,1211 is 7

LCM of denominators i.e. for 688,376 is 32336.

Thus, GCF of Fractions is 7/32336.Finally, GCF of Fractions for 4018/688, 1211/376 is 7/32336.