Highest Common Factor of 726, 549, 980 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 726, 549, 980 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 726, 549, 980 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 726, 549, 980 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 726, 549, 980 is 1.
HCF(726, 549, 980) = 1
HCF of 726, 549, 980 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 726, 549, 980 is 1.
Highest Common Factor of 726,549,980 is 1
Step 1: Since 726 > 549, we apply the division lemma to 726 and 549, to get
726 = 549 x 1 + 177
Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 177 and 549, to get
549 = 177 x 3 + 18
Step 3: We consider the new divisor 177 and the new remainder 18, and apply the division lemma to get
177 = 18 x 9 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 726 and 549 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(177,18) = HCF(549,177) = HCF(726,549) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 980 > 3, we apply the division lemma to 980 and 3, to get
980 = 3 x 326 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 980 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(980,3) .
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Frequently Asked Questions on HCF of 726, 549, 980 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 726, 549, 980?
Answer: HCF of 726, 549, 980 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 726, 549, 980 using Euclid's Algorithm?
Answer: For arbitrary numbers 726, 549, 980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.