Highest Common Factor of 270, 954, 403, 22 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 270, 954, 403, 22 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 270, 954, 403, 22 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 270, 954, 403, 22 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 270, 954, 403, 22 is 1.
HCF(270, 954, 403, 22) = 1
HCF of 270, 954, 403, 22 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 270, 954, 403, 22 is 1.
Highest Common Factor of 270,954,403,22 is 1
Step 1: Since 954 > 270, we apply the division lemma to 954 and 270, to get
954 = 270 x 3 + 144
Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 144 and 270, to get
270 = 144 x 1 + 126
Step 3: We consider the new divisor 144 and the new remainder 126, and apply the division lemma to get
144 = 126 x 1 + 18
We consider the new divisor 126 and the new remainder 18, and apply the division lemma to get
126 = 18 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 270 and 954 is 18
Notice that 18 = HCF(126,18) = HCF(144,126) = HCF(270,144) = HCF(954,270) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 403 > 18, we apply the division lemma to 403 and 18, to get
403 = 18 x 22 + 7
Step 2: Since the reminder 18 ≠ 0, we apply division lemma to 7 and 18, to get
18 = 7 x 2 + 4
Step 3: We consider the new divisor 7 and the new remainder 4, and apply the division lemma to get
7 = 4 x 1 + 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 18 and 403 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(403,18) .
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) .
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Frequently Asked Questions on HCF of 270, 954, 403, 22 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 270, 954, 403, 22?
Answer: HCF of 270, 954, 403, 22 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 270, 954, 403, 22 using Euclid's Algorithm?
Answer: For arbitrary numbers 270, 954, 403, 22 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.