How to Find GCF of 6379/698, 8574/1028?

GCF of 6379/698, 8574/1028

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 6379/698, 8574/1028 i.e 1/358772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6379/698, 8574/1028.

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 6379/698,8574/1028?

Given fractions are 6379/698,8574/1028

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 6379/698,8574/1028, numerators are 6379,8574

Denominators are 698,1028

The GCF of 6379,8574 is 1 .

LCM of 698,1028 is 358772.

The greatest common factor of 6379/698,8574/1028 = [GCF of 6379,8574]/[LCM of 698,1028]= 1/358772

Therefore, the GCF of 6379/698,8574/1028 is 1/358772.

Greatest Common Factor of 6379,8574

To find the highest common factor of 6379,8574, we have to find the factors of both numbers and list the highest common factor.

The factors of 6379 are 1, 6379

The factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574

The HCF of 6379,8574 is 1.

Lets's calculate GCF of 6379,8574

Greatest Common Factor (GCF) of 6379,8574 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6379,8574 By Matching Biggest Common Factor Method

Now, list down the factors of 6379

1,6379

Now, list down the factors of 8574

1,2,3,6,1429,2858,4287,8574

Greatest Common Factor

We found the factors 6379,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 6379,8574 is 1.

Lets's calculate LCM of 698,1028

Lowest Common Multiple of 698,1028 using Common Division

2	698, 1028
	349, 514

∴ So the LCM of the given numbers is 2 x 349 x 514 = 358772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358772

Therefore, the GCF of Fractions 6379/698,8574/1028 is 1/358772

Least Common Multiple of 698,1028 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 698,1028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,1028) = 2

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

GCF(698,1028) x common factors =2 x 1 = 2

LCM(698,1028) = ( 698 × 1028 ) / 2

LCM(698,1028) = 717544 / 2

LCM(698,1028) = 358772

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FAQs on GCF of Fractions of 6379/698, 8574/1028

1. What is the HCF of 6379,8574?

The HCF of 6379,8574 is 1

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 6379/698, 8574/1028?

Answer: GCF of Numerators as per given numbers 6379/698, 8574/1028 is

GCF of Numerators i.e. for 6379,8574 is 1

LCM of denominators i.e. for 698,1028 is 358772.

Thus, GCF of Fractions is 1/358772.Finally, GCF of Fractions for 6379/698, 8574/1028 is 1/358772.