Highest Common Factor of 892, 570, 898, 67 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 892, 570, 898, 67 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 570, 898, 67 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 892, 570, 898, 67 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 892, 570, 898, 67 is 1.
HCF(892, 570, 898, 67) = 1
HCF of 892, 570, 898, 67 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 892, 570, 898, 67 is 1.
Highest Common Factor of 892,570,898,67 is 1
Step 1: Since 892 > 570, we apply the division lemma to 892 and 570, to get
892 = 570 x 1 + 322
Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 322 and 570, to get
570 = 322 x 1 + 248
Step 3: We consider the new divisor 322 and the new remainder 248, and apply the division lemma to get
322 = 248 x 1 + 74
We consider the new divisor 248 and the new remainder 74,and apply the division lemma to get
248 = 74 x 3 + 26
We consider the new divisor 74 and the new remainder 26,and apply the division lemma to get
74 = 26 x 2 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 892 and 570 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(74,26) = HCF(248,74) = HCF(322,248) = HCF(570,322) = HCF(892,570) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 898 > 2, we apply the division lemma to 898 and 2, to get
898 = 2 x 449 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 898 is 2
Notice that 2 = HCF(898,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 67 > 2, we apply the division lemma to 67 and 2, to get
67 = 2 x 33 + 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 67 is 1
Notice that 1 = HCF(2,1) = HCF(67,2) .
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Frequently Asked Questions on HCF of 892, 570, 898, 67 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 892, 570, 898, 67?
Answer: HCF of 892, 570, 898, 67 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 570, 898, 67 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 570, 898, 67 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.