Highest Common Factor of 4491, 5346 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 4491, 5346 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4491, 5346 is 9 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 4491, 5346 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 4491, 5346 is 9.
HCF(4491, 5346) = 9
HCF of 4491, 5346 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4491, 5346 is 9.
Highest Common Factor of 4491,5346 is 9
Step 1: Since 5346 > 4491, we apply the division lemma to 5346 and 4491, to get
5346 = 4491 x 1 + 855
Step 2: Since the reminder 4491 ≠ 0, we apply division lemma to 855 and 4491, to get
4491 = 855 x 5 + 216
Step 3: We consider the new divisor 855 and the new remainder 216, and apply the division lemma to get
855 = 216 x 3 + 207
We consider the new divisor 216 and the new remainder 207,and apply the division lemma to get
216 = 207 x 1 + 9
We consider the new divisor 207 and the new remainder 9,and apply the division lemma to get
207 = 9 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4491 and 5346 is 9
Notice that 9 = HCF(207,9) = HCF(216,207) = HCF(855,216) = HCF(4491,855) = HCF(5346,4491) .
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Frequently Asked Questions on HCF of 4491, 5346 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 4491, 5346?
Answer: HCF of 4491, 5346 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4491, 5346 using Euclid's Algorithm?
Answer: For arbitrary numbers 4491, 5346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.