Highest Common Factor of 9092, 1741 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 9092, 1741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9092, 1741 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 9092, 1741 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 9092, 1741 is 1.
HCF(9092, 1741) = 1
HCF of 9092, 1741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9092, 1741 is 1.
Highest Common Factor of 9092,1741 is 1
Step 1: Since 9092 > 1741, we apply the division lemma to 9092 and 1741, to get
9092 = 1741 x 5 + 387
Step 2: Since the reminder 1741 ≠ 0, we apply division lemma to 387 and 1741, to get
1741 = 387 x 4 + 193
Step 3: We consider the new divisor 387 and the new remainder 193, and apply the division lemma to get
387 = 193 x 2 + 1
We consider the new divisor 193 and the new remainder 1, and apply the division lemma to get
193 = 1 x 193 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9092 and 1741 is 1
Notice that 1 = HCF(193,1) = HCF(387,193) = HCF(1741,387) = HCF(9092,1741) .
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Frequently Asked Questions on HCF of 9092, 1741 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 9092, 1741?
Answer: HCF of 9092, 1741 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9092, 1741 using Euclid's Algorithm?
Answer: For arbitrary numbers 9092, 1741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.