Highest Common Factor of 235, 574, 22, 944 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 235, 574, 22, 944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 235, 574, 22, 944 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 235, 574, 22, 944 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 235, 574, 22, 944 is 1.
HCF(235, 574, 22, 944) = 1
HCF of 235, 574, 22, 944 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 235, 574, 22, 944 is 1.
Highest Common Factor of 235,574,22,944 is 1
Step 1: Since 574 > 235, we apply the division lemma to 574 and 235, to get
574 = 235 x 2 + 104
Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 104 and 235, to get
235 = 104 x 2 + 27
Step 3: We consider the new divisor 104 and the new remainder 27, and apply the division lemma to get
104 = 27 x 3 + 23
We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get
27 = 23 x 1 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 235 and 574 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(104,27) = HCF(235,104) = HCF(574,235) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 22 > 1, we apply the division lemma to 22 and 1, to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22 is 1
Notice that 1 = HCF(22,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 944 > 1, we apply the division lemma to 944 and 1, to get
944 = 1 x 944 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 944 is 1
Notice that 1 = HCF(944,1) .
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Frequently Asked Questions on HCF of 235, 574, 22, 944 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 235, 574, 22, 944?
Answer: HCF of 235, 574, 22, 944 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 235, 574, 22, 944 using Euclid's Algorithm?
Answer: For arbitrary numbers 235, 574, 22, 944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.