Highest Common Factor of 837, 463, 578 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 837, 463, 578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 837, 463, 578 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 837, 463, 578 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 837, 463, 578 is 1.
HCF(837, 463, 578) = 1
HCF of 837, 463, 578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 837, 463, 578 is 1.
Highest Common Factor of 837,463,578 is 1
Step 1: Since 837 > 463, we apply the division lemma to 837 and 463, to get
837 = 463 x 1 + 374
Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 374 and 463, to get
463 = 374 x 1 + 89
Step 3: We consider the new divisor 374 and the new remainder 89, and apply the division lemma to get
374 = 89 x 4 + 18
We consider the new divisor 89 and the new remainder 18,and apply the division lemma to get
89 = 18 x 4 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 837 and 463 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(89,18) = HCF(374,89) = HCF(463,374) = HCF(837,463) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 578 > 1, we apply the division lemma to 578 and 1, to get
578 = 1 x 578 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 578 is 1
Notice that 1 = HCF(578,1) .
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Frequently Asked Questions on HCF of 837, 463, 578 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 837, 463, 578?
Answer: HCF of 837, 463, 578 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 837, 463, 578 using Euclid's Algorithm?
Answer: For arbitrary numbers 837, 463, 578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.