Highest Common Factor of 448, 291, 640 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 448, 291, 640 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 448, 291, 640 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 448, 291, 640 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 448, 291, 640 is 1.

HCF(448, 291, 640) = 1

HCF of 448, 291, 640 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 448, 291, 640 is 1.

Highest Common Factor of 448,291,640 using Euclid's algorithm

Highest Common Factor of 448,291,640 is 1

Step 1: Since 448 > 291, we apply the division lemma to 448 and 291, to get

448 = 291 x 1 + 157

Step 2: Since the reminder 291 ≠ 0, we apply division lemma to 157 and 291, to get

291 = 157 x 1 + 134

Step 3: We consider the new divisor 157 and the new remainder 134, and apply the division lemma to get

157 = 134 x 1 + 23

We consider the new divisor 134 and the new remainder 23,and apply the division lemma to get

134 = 23 x 5 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 448 and 291 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(134,23) = HCF(157,134) = HCF(291,157) = HCF(448,291) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 640 > 1, we apply the division lemma to 640 and 1, to get

640 = 1 x 640 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 640 is 1

Notice that 1 = HCF(640,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 448, 291, 640 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 448, 291, 640?

Answer: HCF of 448, 291, 640 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 448, 291, 640 using Euclid's Algorithm?

Answer: For arbitrary numbers 448, 291, 640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.