Highest Common Factor of 1974, 9826 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 1974, 9826 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1974, 9826 is 2 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 1974, 9826 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 1974, 9826 is 2.
HCF(1974, 9826) = 2
HCF of 1974, 9826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1974, 9826 is 2.
Highest Common Factor of 1974,9826 is 2
Step 1: Since 9826 > 1974, we apply the division lemma to 9826 and 1974, to get
9826 = 1974 x 4 + 1930
Step 2: Since the reminder 1974 ≠ 0, we apply division lemma to 1930 and 1974, to get
1974 = 1930 x 1 + 44
Step 3: We consider the new divisor 1930 and the new remainder 44, and apply the division lemma to get
1930 = 44 x 43 + 38
We consider the new divisor 44 and the new remainder 38,and apply the division lemma to get
44 = 38 x 1 + 6
We consider the new divisor 38 and the new remainder 6,and apply the division lemma to get
38 = 6 x 6 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1974 and 9826 is 2
Notice that 2 = HCF(6,2) = HCF(38,6) = HCF(44,38) = HCF(1930,44) = HCF(1974,1930) = HCF(9826,1974) .
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Frequently Asked Questions on HCF of 1974, 9826 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 1974, 9826?
Answer: HCF of 1974, 9826 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1974, 9826 using Euclid's Algorithm?
Answer: For arbitrary numbers 1974, 9826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.