How to Find GCF of 772/387, 5640/1637?

GCF of 772/387, 5640/1637

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 772/387, 5640/1637 i.e 4/633519 easily. The following is the detailed procedure to determine the greatest common factor of fractions 772/387, 5640/1637.

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 772/387,5640/1637?

Given fractions are 772/387,5640/1637

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 772/387,5640/1637, numerators are 772,5640

Denominators are 387,1637

The GCF of 772,5640 is 4 .

LCM of 387,1637 is 633519.

The greatest common factor of 772/387,5640/1637 = [GCF of 772,5640]/[LCM of 387,1637]= 4/633519

Therefore, the GCF of 772/387,5640/1637 is 4/633519.

Greatest Common Factor of 772,5640

To find the highest common factor of 772,5640, we have to find the factors of both numbers and list the highest common factor.

The factors of 772 are 1, 2, 4, 193, 386, 772

The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640

The HCF of 772,5640 is 4.

Lets's calculate GCF of 772,5640

Greatest Common Factor (GCF) of 772,5640 By Common Division

2	772, 5640
2	386, 2820
	193, 1410

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 772,5640 By Matching Biggest Common Factor Method

Now, list down the factors of 772

1,2,4,193,386,772

Now, list down the factors of 5640

1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640

Greatest Common Factor

We found the factors 772,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 772,5640 is 4.

Lets's calculate LCM of 387,1637

Lowest Common Multiple of 387,1637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 633519

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/633519

Therefore, the GCF of Fractions 772/387,5640/1637 is 4/633519

Least Common Multiple of 387,1637 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 387,1637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,1637) = 1

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

GCF(387,1637) x common factors =1 x 1 = 1

LCM(387,1637) = ( 387 × 1637 ) / 1

LCM(387,1637) = 633519 / 1

LCM(387,1637) = 633519

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FAQs on GCF of Fractions of 772/387, 5640/1637

1. What is the HCF of 772,5640?

The HCF of 772,5640 is 4

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 772/387, 5640/1637?

Answer: GCF of Numerators as per given numbers 772/387, 5640/1637 is

GCF of Numerators i.e. for 772,5640 is 4

LCM of denominators i.e. for 387,1637 is 633519.

Thus, GCF of Fractions is 4/633519.Finally, GCF of Fractions for 772/387, 5640/1637 is 4/633519.