Highest Common Factor of 944, 611, 892, 37 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 944, 611, 892, 37 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 944, 611, 892, 37 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 944, 611, 892, 37 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 944, 611, 892, 37 is 1.
HCF(944, 611, 892, 37) = 1
HCF of 944, 611, 892, 37 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 944, 611, 892, 37 is 1.
Highest Common Factor of 944,611,892,37 is 1
Step 1: Since 944 > 611, we apply the division lemma to 944 and 611, to get
944 = 611 x 1 + 333
Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 333 and 611, to get
611 = 333 x 1 + 278
Step 3: We consider the new divisor 333 and the new remainder 278, and apply the division lemma to get
333 = 278 x 1 + 55
We consider the new divisor 278 and the new remainder 55,and apply the division lemma to get
278 = 55 x 5 + 3
We consider the new divisor 55 and the new remainder 3,and apply the division lemma to get
55 = 3 x 18 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 944 and 611 is 1
Notice that 1 = HCF(3,1) = HCF(55,3) = HCF(278,55) = HCF(333,278) = HCF(611,333) = HCF(944,611) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 892 > 1, we apply the division lemma to 892 and 1, to get
892 = 1 x 892 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 892 is 1
Notice that 1 = HCF(892,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37 > 1, we apply the division lemma to 37 and 1, to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37 is 1
Notice that 1 = HCF(37,1) .
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Frequently Asked Questions on HCF of 944, 611, 892, 37 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 944, 611, 892, 37?
Answer: HCF of 944, 611, 892, 37 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 944, 611, 892, 37 using Euclid's Algorithm?
Answer: For arbitrary numbers 944, 611, 892, 37 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.