Highest Common Factor of 9295, 3963 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 9295, 3963 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9295, 3963 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 9295, 3963 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 9295, 3963 is 1.
HCF(9295, 3963) = 1
HCF of 9295, 3963 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9295, 3963 is 1.
Highest Common Factor of 9295,3963 is 1
Step 1: Since 9295 > 3963, we apply the division lemma to 9295 and 3963, to get
9295 = 3963 x 2 + 1369
Step 2: Since the reminder 3963 ≠ 0, we apply division lemma to 1369 and 3963, to get
3963 = 1369 x 2 + 1225
Step 3: We consider the new divisor 1369 and the new remainder 1225, and apply the division lemma to get
1369 = 1225 x 1 + 144
We consider the new divisor 1225 and the new remainder 144,and apply the division lemma to get
1225 = 144 x 8 + 73
We consider the new divisor 144 and the new remainder 73,and apply the division lemma to get
144 = 73 x 1 + 71
We consider the new divisor 73 and the new remainder 71,and apply the division lemma to get
73 = 71 x 1 + 2
We consider the new divisor 71 and the new remainder 2,and apply the division lemma to get
71 = 2 x 35 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9295 and 3963 is 1
Notice that 1 = HCF(2,1) = HCF(71,2) = HCF(73,71) = HCF(144,73) = HCF(1225,144) = HCF(1369,1225) = HCF(3963,1369) = HCF(9295,3963) .
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Frequently Asked Questions on HCF of 9295, 3963 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 9295, 3963?
Answer: HCF of 9295, 3963 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9295, 3963 using Euclid's Algorithm?
Answer: For arbitrary numbers 9295, 3963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.