Highest Common Factor of 1092, 5761 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 1092, 5761 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1092, 5761 is 7 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 1092, 5761 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 1092, 5761 is 7.
HCF(1092, 5761) = 7
HCF of 1092, 5761 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1092, 5761 is 7.
Highest Common Factor of 1092,5761 is 7
Step 1: Since 5761 > 1092, we apply the division lemma to 5761 and 1092, to get
5761 = 1092 x 5 + 301
Step 2: Since the reminder 1092 ≠ 0, we apply division lemma to 301 and 1092, to get
1092 = 301 x 3 + 189
Step 3: We consider the new divisor 301 and the new remainder 189, and apply the division lemma to get
301 = 189 x 1 + 112
We consider the new divisor 189 and the new remainder 112,and apply the division lemma to get
189 = 112 x 1 + 77
We consider the new divisor 112 and the new remainder 77,and apply the division lemma to get
112 = 77 x 1 + 35
We consider the new divisor 77 and the new remainder 35,and apply the division lemma to get
77 = 35 x 2 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1092 and 5761 is 7
Notice that 7 = HCF(35,7) = HCF(77,35) = HCF(112,77) = HCF(189,112) = HCF(301,189) = HCF(1092,301) = HCF(5761,1092) .
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Frequently Asked Questions on HCF of 1092, 5761 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 1092, 5761?
Answer: HCF of 1092, 5761 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1092, 5761 using Euclid's Algorithm?
Answer: For arbitrary numbers 1092, 5761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.