Highest Common Factor of 91, 897, 724 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 91, 897, 724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 91, 897, 724 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 91, 897, 724 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 91, 897, 724 is 1.
HCF(91, 897, 724) = 1
HCF of 91, 897, 724 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 91, 897, 724 is 1.
Highest Common Factor of 91,897,724 is 1
Step 1: Since 897 > 91, we apply the division lemma to 897 and 91, to get
897 = 91 x 9 + 78
Step 2: Since the reminder 91 ≠ 0, we apply division lemma to 78 and 91, to get
91 = 78 x 1 + 13
Step 3: We consider the new divisor 78 and the new remainder 13, and apply the division lemma to get
78 = 13 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 91 and 897 is 13
Notice that 13 = HCF(78,13) = HCF(91,78) = HCF(897,91) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 724 > 13, we apply the division lemma to 724 and 13, to get
724 = 13 x 55 + 9
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 9 and 13, to get
13 = 9 x 1 + 4
Step 3: We consider the new divisor 9 and the new remainder 4, and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 724 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(724,13) .
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Frequently Asked Questions on HCF of 91, 897, 724 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 91, 897, 724?
Answer: HCF of 91, 897, 724 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 91, 897, 724 using Euclid's Algorithm?
Answer: For arbitrary numbers 91, 897, 724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.