Highest Common Factor of 1091, 7232 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 1091, 7232 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1091, 7232 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 1091, 7232 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 1091, 7232 is 1.
HCF(1091, 7232) = 1
HCF of 1091, 7232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1091, 7232 is 1.
Highest Common Factor of 1091,7232 is 1
Step 1: Since 7232 > 1091, we apply the division lemma to 7232 and 1091, to get
7232 = 1091 x 6 + 686
Step 2: Since the reminder 1091 ≠ 0, we apply division lemma to 686 and 1091, to get
1091 = 686 x 1 + 405
Step 3: We consider the new divisor 686 and the new remainder 405, and apply the division lemma to get
686 = 405 x 1 + 281
We consider the new divisor 405 and the new remainder 281,and apply the division lemma to get
405 = 281 x 1 + 124
We consider the new divisor 281 and the new remainder 124,and apply the division lemma to get
281 = 124 x 2 + 33
We consider the new divisor 124 and the new remainder 33,and apply the division lemma to get
124 = 33 x 3 + 25
We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get
33 = 25 x 1 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1091 and 7232 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(124,33) = HCF(281,124) = HCF(405,281) = HCF(686,405) = HCF(1091,686) = HCF(7232,1091) .
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Frequently Asked Questions on HCF of 1091, 7232 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 1091, 7232?
Answer: HCF of 1091, 7232 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1091, 7232 using Euclid's Algorithm?
Answer: For arbitrary numbers 1091, 7232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
