Highest Common Factor of 603, 823, 46, 110 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 603, 823, 46, 110 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 603, 823, 46, 110 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 603, 823, 46, 110 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 603, 823, 46, 110 is 1.
HCF(603, 823, 46, 110) = 1
HCF of 603, 823, 46, 110 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 603, 823, 46, 110 is 1.
Highest Common Factor of 603,823,46,110 is 1
Step 1: Since 823 > 603, we apply the division lemma to 823 and 603, to get
823 = 603 x 1 + 220
Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 220 and 603, to get
603 = 220 x 2 + 163
Step 3: We consider the new divisor 220 and the new remainder 163, and apply the division lemma to get
220 = 163 x 1 + 57
We consider the new divisor 163 and the new remainder 57,and apply the division lemma to get
163 = 57 x 2 + 49
We consider the new divisor 57 and the new remainder 49,and apply the division lemma to get
57 = 49 x 1 + 8
We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get
49 = 8 x 6 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 603 and 823 is 1
Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(57,49) = HCF(163,57) = HCF(220,163) = HCF(603,220) = HCF(823,603) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1
Notice that 1 = HCF(46,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 110 > 1, we apply the division lemma to 110 and 1, to get
110 = 1 x 110 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 110 is 1
Notice that 1 = HCF(110,1) .
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Frequently Asked Questions on HCF of 603, 823, 46, 110 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 603, 823, 46, 110?
Answer: HCF of 603, 823, 46, 110 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 603, 823, 46, 110 using Euclid's Algorithm?
Answer: For arbitrary numbers 603, 823, 46, 110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.