Highest Common Factor of 849, 526, 649, 472 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 849, 526, 649, 472 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 849, 526, 649, 472 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 849, 526, 649, 472 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 849, 526, 649, 472 is 1.
HCF(849, 526, 649, 472) = 1
HCF of 849, 526, 649, 472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 849, 526, 649, 472 is 1.
Highest Common Factor of 849,526,649,472 is 1
Step 1: Since 849 > 526, we apply the division lemma to 849 and 526, to get
849 = 526 x 1 + 323
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 323 and 526, to get
526 = 323 x 1 + 203
Step 3: We consider the new divisor 323 and the new remainder 203, and apply the division lemma to get
323 = 203 x 1 + 120
We consider the new divisor 203 and the new remainder 120,and apply the division lemma to get
203 = 120 x 1 + 83
We consider the new divisor 120 and the new remainder 83,and apply the division lemma to get
120 = 83 x 1 + 37
We consider the new divisor 83 and the new remainder 37,and apply the division lemma to get
83 = 37 x 2 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 849 and 526 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(83,37) = HCF(120,83) = HCF(203,120) = HCF(323,203) = HCF(526,323) = HCF(849,526) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 649 > 1, we apply the division lemma to 649 and 1, to get
649 = 1 x 649 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 649 is 1
Notice that 1 = HCF(649,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 472 > 1, we apply the division lemma to 472 and 1, to get
472 = 1 x 472 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 472 is 1
Notice that 1 = HCF(472,1) .
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Frequently Asked Questions on HCF of 849, 526, 649, 472 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 849, 526, 649, 472?
Answer: HCF of 849, 526, 649, 472 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 849, 526, 649, 472 using Euclid's Algorithm?
Answer: For arbitrary numbers 849, 526, 649, 472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
