Highest Common Factor of 583, 826, 112 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 583, 826, 112 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 583, 826, 112 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 583, 826, 112 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 583, 826, 112 is 1.
HCF(583, 826, 112) = 1
HCF of 583, 826, 112 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 583, 826, 112 is 1.
Highest Common Factor of 583,826,112 is 1
Step 1: Since 826 > 583, we apply the division lemma to 826 and 583, to get
826 = 583 x 1 + 243
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 243 and 583, to get
583 = 243 x 2 + 97
Step 3: We consider the new divisor 243 and the new remainder 97, and apply the division lemma to get
243 = 97 x 2 + 49
We consider the new divisor 97 and the new remainder 49,and apply the division lemma to get
97 = 49 x 1 + 48
We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get
49 = 48 x 1 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 583 and 826 is 1
Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(97,49) = HCF(243,97) = HCF(583,243) = HCF(826,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 112 > 1, we apply the division lemma to 112 and 1, to get
112 = 1 x 112 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 112 is 1
Notice that 1 = HCF(112,1) .
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Frequently Asked Questions on HCF of 583, 826, 112 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 583, 826, 112?
Answer: HCF of 583, 826, 112 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 583, 826, 112 using Euclid's Algorithm?
Answer: For arbitrary numbers 583, 826, 112 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.