Highest Common Factor of 1926, 9737 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 1926, 9737 i.e. 107 the largest integer that leaves a remainder zero for all numbers.
HCF of 1926, 9737 is 107 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 1926, 9737 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 1926, 9737 is 107.
HCF(1926, 9737) = 107
HCF of 1926, 9737 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1926, 9737 is 107.
Highest Common Factor of 1926,9737 is 107
Step 1: Since 9737 > 1926, we apply the division lemma to 9737 and 1926, to get
9737 = 1926 x 5 + 107
Step 2: Since the reminder 1926 ≠ 0, we apply division lemma to 107 and 1926, to get
1926 = 107 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 107, the HCF of 1926 and 9737 is 107
Notice that 107 = HCF(1926,107) = HCF(9737,1926) .
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Frequently Asked Questions on HCF of 1926, 9737 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 1926, 9737?
Answer: HCF of 1926, 9737 is 107 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1926, 9737 using Euclid's Algorithm?
Answer: For arbitrary numbers 1926, 9737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.