Highest Common Factor of 664, 914, 537, 835 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 664, 914, 537, 835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 664, 914, 537, 835 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 664, 914, 537, 835 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 664, 914, 537, 835 is 1.
HCF(664, 914, 537, 835) = 1
HCF of 664, 914, 537, 835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 664, 914, 537, 835 is 1.
Highest Common Factor of 664,914,537,835 is 1
Step 1: Since 914 > 664, we apply the division lemma to 914 and 664, to get
914 = 664 x 1 + 250
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 250 and 664, to get
664 = 250 x 2 + 164
Step 3: We consider the new divisor 250 and the new remainder 164, and apply the division lemma to get
250 = 164 x 1 + 86
We consider the new divisor 164 and the new remainder 86,and apply the division lemma to get
164 = 86 x 1 + 78
We consider the new divisor 86 and the new remainder 78,and apply the division lemma to get
86 = 78 x 1 + 8
We consider the new divisor 78 and the new remainder 8,and apply the division lemma to get
78 = 8 x 9 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 664 and 914 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(78,8) = HCF(86,78) = HCF(164,86) = HCF(250,164) = HCF(664,250) = HCF(914,664) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 537 > 2, we apply the division lemma to 537 and 2, to get
537 = 2 x 268 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 537 is 1
Notice that 1 = HCF(2,1) = HCF(537,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 835 > 1, we apply the division lemma to 835 and 1, to get
835 = 1 x 835 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 835 is 1
Notice that 1 = HCF(835,1) .
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Frequently Asked Questions on HCF of 664, 914, 537, 835 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 664, 914, 537, 835?
Answer: HCF of 664, 914, 537, 835 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 664, 914, 537, 835 using Euclid's Algorithm?
Answer: For arbitrary numbers 664, 914, 537, 835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.