Highest Common Factor of 652, 978, 549 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 652, 978, 549 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 652, 978, 549 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 652, 978, 549 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 652, 978, 549 is 1.
HCF(652, 978, 549) = 1
HCF of 652, 978, 549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 652, 978, 549 is 1.
Highest Common Factor of 652,978,549 is 1
Step 1: Since 978 > 652, we apply the division lemma to 978 and 652, to get
978 = 652 x 1 + 326
Step 2: Since the reminder 652 ≠ 0, we apply division lemma to 326 and 652, to get
652 = 326 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 326, the HCF of 652 and 978 is 326
Notice that 326 = HCF(652,326) = HCF(978,652) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 549 > 326, we apply the division lemma to 549 and 326, to get
549 = 326 x 1 + 223
Step 2: Since the reminder 326 ≠ 0, we apply division lemma to 223 and 326, to get
326 = 223 x 1 + 103
Step 3: We consider the new divisor 223 and the new remainder 103, and apply the division lemma to get
223 = 103 x 2 + 17
We consider the new divisor 103 and the new remainder 17,and apply the division lemma to get
103 = 17 x 6 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 326 and 549 is 1
Notice that 1 = HCF(17,1) = HCF(103,17) = HCF(223,103) = HCF(326,223) = HCF(549,326) .
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Frequently Asked Questions on HCF of 652, 978, 549 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 652, 978, 549?
Answer: HCF of 652, 978, 549 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 652, 978, 549 using Euclid's Algorithm?
Answer: For arbitrary numbers 652, 978, 549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.