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 4696, 9081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4696, 9081 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 4696, 9081 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 4696, 9081 is 1.
HCF(4696, 9081) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4696, 9081 is 1.
Step 1: Since 9081 > 4696, we apply the division lemma to 9081 and 4696, to get
9081 = 4696 x 1 + 4385
Step 2: Since the reminder 4696 ≠ 0, we apply division lemma to 4385 and 4696, to get
4696 = 4385 x 1 + 311
Step 3: We consider the new divisor 4385 and the new remainder 311, and apply the division lemma to get
4385 = 311 x 14 + 31
We consider the new divisor 311 and the new remainder 31,and apply the division lemma to get
311 = 31 x 10 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4696 and 9081 is 1
Notice that 1 = HCF(31,1) = HCF(311,31) = HCF(4385,311) = HCF(4696,4385) = HCF(9081,4696) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4696, 9081?
Answer: HCF of 4696, 9081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4696, 9081 using Euclid's Algorithm?
Answer: For arbitrary numbers 4696, 9081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.