Highest Common Factor of 9795, 1447 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 9795, 1447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9795, 1447 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 9795, 1447 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 9795, 1447 is 1.
HCF(9795, 1447) = 1
HCF of 9795, 1447 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9795, 1447 is 1.
Highest Common Factor of 9795,1447 is 1
Step 1: Since 9795 > 1447, we apply the division lemma to 9795 and 1447, to get
9795 = 1447 x 6 + 1113
Step 2: Since the reminder 1447 ≠ 0, we apply division lemma to 1113 and 1447, to get
1447 = 1113 x 1 + 334
Step 3: We consider the new divisor 1113 and the new remainder 334, and apply the division lemma to get
1113 = 334 x 3 + 111
We consider the new divisor 334 and the new remainder 111,and apply the division lemma to get
334 = 111 x 3 + 1
We consider the new divisor 111 and the new remainder 1,and apply the division lemma to get
111 = 1 x 111 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9795 and 1447 is 1
Notice that 1 = HCF(111,1) = HCF(334,111) = HCF(1113,334) = HCF(1447,1113) = HCF(9795,1447) .
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Frequently Asked Questions on HCF of 9795, 1447 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 9795, 1447?
Answer: HCF of 9795, 1447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9795, 1447 using Euclid's Algorithm?
Answer: For arbitrary numbers 9795, 1447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.