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GCF of 6207/768, 5390/1972

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 6207/768, 5390/1972 i.e 1/378624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6207/768, 5390/1972.

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 6207/768,5390/1972?

Given fractions are 6207/768,5390/1972

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 6207/768,5390/1972, numerators are 6207,5390

Denominators are 768,1972

The GCF of 6207,5390 is 1 .

LCM of 768,1972 is 378624.

The greatest common factor of 6207/768,5390/1972 = [GCF of 6207,5390]/[LCM of 768,1972]= 1/378624

Therefore, the GCF of 6207/768,5390/1972 is 1/378624.

Greatest Common Factor of 6207,5390

To find the highest common factor of 6207,5390, we have to find the factors of both numbers and list the highest common factor.

The factors of 6207 are 1, 3, 2069, 6207

The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390

The HCF of 6207,5390 is 1.

Lets's calculate GCF of 6207,5390

Greatest Common Factor (GCF) of 6207,5390 By Common Division

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

Greatest Common Factor of 6207,5390 By Matching Biggest Common Factor Method

Greatest Common Factor of 6207,5390 By Matching Biggest Common Factor Method

Now, list down the factors of 6207

:

1,3,2069,6207

Now, list down the factors of 5390

:

1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390

Greatest Common Factor

We found the factors 6207,5390 . The biggest common factor number is the GCF number.
So the greatest common factor 6207,5390 is 1.


Lets's calculate LCM of 768,1972

Lowest Common Multiple of 768,1972 using Common Division

2 768, 1972
2 384, 986
192, 493

∴ So the LCM of the given numbers is 2 x 2 x 192 x 493 = 378624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/378624

Therefore, the GCF of Fractions 6207/768,5390/1972 is 1/378624

Least Common Multiple of 768,1972 with GCF Formula

Least Common Multiple of 768,1972 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 768,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,1972) = 4

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

GCF(768,1972) x common factors =4 x 1 = 4

LCM(768,1972) = ( 768 × 1972 ) / 4

LCM(768,1972) = 1514496 / 4

LCM(768,1972) = 378624


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6207/768, 5390/1972

1. What is the HCF of 6207,5390?

The HCF of 6207,5390 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 6207/768, 5390/1972?

Answer: GCF of Numerators as per given numbers 6207/768, 5390/1972 is

GCF of Numerators i.e. for 6207,5390 is 1

LCM of denominators i.e. for 768,1972 is 378624.

Thus, GCF of Fractions is 1/378624.Finally, GCF of Fractions for 6207/768, 5390/1972 is 1/378624.