Highest Common Factor of 726, 1920, 7633 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, 1920, 7633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 726, 1920, 7633 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, 1920, 7633 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, 1920, 7633 is 1.
HCF(726, 1920, 7633) = 1
HCF of 726, 1920, 7633 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, 1920, 7633 is 1.
Highest Common Factor of 726,1920,7633 is 1
Step 1: Since 1920 > 726, we apply the division lemma to 1920 and 726, to get
1920 = 726 x 2 + 468
Step 2: Since the reminder 726 ≠ 0, we apply division lemma to 468 and 726, to get
726 = 468 x 1 + 258
Step 3: We consider the new divisor 468 and the new remainder 258, and apply the division lemma to get
468 = 258 x 1 + 210
We consider the new divisor 258 and the new remainder 210,and apply the division lemma to get
258 = 210 x 1 + 48
We consider the new divisor 210 and the new remainder 48,and apply the division lemma to get
210 = 48 x 4 + 18
We consider the new divisor 48 and the new remainder 18,and apply the division lemma to get
48 = 18 x 2 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 726 and 1920 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(48,18) = HCF(210,48) = HCF(258,210) = HCF(468,258) = HCF(726,468) = HCF(1920,726) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7633 > 6, we apply the division lemma to 7633 and 6, to get
7633 = 6 x 1272 + 1
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 1 and 6, to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 7633 is 1
Notice that 1 = HCF(6,1) = HCF(7633,6) .
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Frequently Asked Questions on HCF of 726, 1920, 7633 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, 1920, 7633?
Answer: HCF of 726, 1920, 7633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 726, 1920, 7633 using Euclid's Algorithm?
Answer: For arbitrary numbers 726, 1920, 7633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.