Highest Common Factor of 448, 816, 571 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, 816, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 448, 816, 571 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, 816, 571 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, 816, 571 is 1.
HCF(448, 816, 571) = 1
HCF of 448, 816, 571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 448, 816, 571 is 1.
Highest Common Factor of 448,816,571 is 1
Step 1: Since 816 > 448, we apply the division lemma to 816 and 448, to get
816 = 448 x 1 + 368
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 368 and 448, to get
448 = 368 x 1 + 80
Step 3: We consider the new divisor 368 and the new remainder 80, and apply the division lemma to get
368 = 80 x 4 + 48
We consider the new divisor 80 and the new remainder 48,and apply the division lemma to get
80 = 48 x 1 + 32
We consider the new divisor 48 and the new remainder 32,and apply the division lemma to get
48 = 32 x 1 + 16
We consider the new divisor 32 and the new remainder 16,and apply the division lemma to get
32 = 16 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 448 and 816 is 16
Notice that 16 = HCF(32,16) = HCF(48,32) = HCF(80,48) = HCF(368,80) = HCF(448,368) = HCF(816,448) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 16, we apply the division lemma to 571 and 16, to get
571 = 16 x 35 + 11
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 11 and 16, to get
16 = 11 x 1 + 5
Step 3: We consider the new divisor 11 and the new remainder 5, and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 571 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(571,16) .
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Frequently Asked Questions on HCF of 448, 816, 571 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, 816, 571?
Answer: HCF of 448, 816, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 448, 816, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 448, 816, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.