Highest Common Factor of 943, 9795, 9798 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 943, 9795, 9798 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 943, 9795, 9798 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 943, 9795, 9798 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 943, 9795, 9798 is 1.
HCF(943, 9795, 9798) = 1
HCF of 943, 9795, 9798 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 943, 9795, 9798 is 1.
Highest Common Factor of 943,9795,9798 is 1
Step 1: Since 9795 > 943, we apply the division lemma to 9795 and 943, to get
9795 = 943 x 10 + 365
Step 2: Since the reminder 943 ≠ 0, we apply division lemma to 365 and 943, to get
943 = 365 x 2 + 213
Step 3: We consider the new divisor 365 and the new remainder 213, and apply the division lemma to get
365 = 213 x 1 + 152
We consider the new divisor 213 and the new remainder 152,and apply the division lemma to get
213 = 152 x 1 + 61
We consider the new divisor 152 and the new remainder 61,and apply the division lemma to get
152 = 61 x 2 + 30
We consider the new divisor 61 and the new remainder 30,and apply the division lemma to get
61 = 30 x 2 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 943 and 9795 is 1
Notice that 1 = HCF(30,1) = HCF(61,30) = HCF(152,61) = HCF(213,152) = HCF(365,213) = HCF(943,365) = HCF(9795,943) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9798 > 1, we apply the division lemma to 9798 and 1, to get
9798 = 1 x 9798 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9798 is 1
Notice that 1 = HCF(9798,1) .
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Frequently Asked Questions on HCF of 943, 9795, 9798 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 943, 9795, 9798?
Answer: HCF of 943, 9795, 9798 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 943, 9795, 9798 using Euclid's Algorithm?
Answer: For arbitrary numbers 943, 9795, 9798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
