Highest Common Factor of 272, 884, 570 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 272, 884, 570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 272, 884, 570 is 2 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 272, 884, 570 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 272, 884, 570 is 2.
HCF(272, 884, 570) = 2
HCF of 272, 884, 570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 272, 884, 570 is 2.
Highest Common Factor of 272,884,570 is 2
Step 1: Since 884 > 272, we apply the division lemma to 884 and 272, to get
884 = 272 x 3 + 68
Step 2: Since the reminder 272 ≠ 0, we apply division lemma to 68 and 272, to get
272 = 68 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 272 and 884 is 68
Notice that 68 = HCF(272,68) = HCF(884,272) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 570 > 68, we apply the division lemma to 570 and 68, to get
570 = 68 x 8 + 26
Step 2: Since the reminder 68 ≠ 0, we apply division lemma to 26 and 68, to get
68 = 26 x 2 + 16
Step 3: We consider the new divisor 26 and the new remainder 16, and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 68 and 570 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(68,26) = HCF(570,68) .
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Frequently Asked Questions on HCF of 272, 884, 570 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 272, 884, 570?
Answer: HCF of 272, 884, 570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 272, 884, 570 using Euclid's Algorithm?
Answer: For arbitrary numbers 272, 884, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.