Highest Common Factor of 726, 9228 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, 9228 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 726, 9228 is 6 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, 9228 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, 9228 is 6.
HCF(726, 9228) = 6
HCF of 726, 9228 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, 9228 is 6.
Highest Common Factor of 726,9228 is 6
Step 1: Since 9228 > 726, we apply the division lemma to 9228 and 726, to get
9228 = 726 x 12 + 516
Step 2: Since the reminder 726 ≠ 0, we apply division lemma to 516 and 726, to get
726 = 516 x 1 + 210
Step 3: We consider the new divisor 516 and the new remainder 210, and apply the division lemma to get
516 = 210 x 2 + 96
We consider the new divisor 210 and the new remainder 96,and apply the division lemma to get
210 = 96 x 2 + 18
We consider the new divisor 96 and the new remainder 18,and apply the division lemma to get
96 = 18 x 5 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 726 and 9228 is 6
Notice that 6 = HCF(18,6) = HCF(96,18) = HCF(210,96) = HCF(516,210) = HCF(726,516) = HCF(9228,726) .
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Frequently Asked Questions on HCF of 726, 9228 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, 9228?
Answer: HCF of 726, 9228 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 726, 9228 using Euclid's Algorithm?
Answer: For arbitrary numbers 726, 9228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.