Highest Common Factor of 9926, 1701 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 9926, 1701 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9926, 1701 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 9926, 1701 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 9926, 1701 is 7.
HCF(9926, 1701) = 7
HCF of 9926, 1701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9926, 1701 is 7.
Highest Common Factor of 9926,1701 is 7
Step 1: Since 9926 > 1701, we apply the division lemma to 9926 and 1701, to get
9926 = 1701 x 5 + 1421
Step 2: Since the reminder 1701 ≠ 0, we apply division lemma to 1421 and 1701, to get
1701 = 1421 x 1 + 280
Step 3: We consider the new divisor 1421 and the new remainder 280, and apply the division lemma to get
1421 = 280 x 5 + 21
We consider the new divisor 280 and the new remainder 21,and apply the division lemma to get
280 = 21 x 13 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9926 and 1701 is 7
Notice that 7 = HCF(21,7) = HCF(280,21) = HCF(1421,280) = HCF(1701,1421) = HCF(9926,1701) .
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Frequently Asked Questions on HCF of 9926, 1701 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 9926, 1701?
Answer: HCF of 9926, 1701 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9926, 1701 using Euclid's Algorithm?
Answer: For arbitrary numbers 9926, 1701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.