Highest Common Factor of 4266, 5586 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 4266, 5586 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4266, 5586 is 6 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 4266, 5586 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 4266, 5586 is 6.
HCF(4266, 5586) = 6
HCF of 4266, 5586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4266, 5586 is 6.
Highest Common Factor of 4266,5586 is 6
Step 1: Since 5586 > 4266, we apply the division lemma to 5586 and 4266, to get
5586 = 4266 x 1 + 1320
Step 2: Since the reminder 4266 ≠ 0, we apply division lemma to 1320 and 4266, to get
4266 = 1320 x 3 + 306
Step 3: We consider the new divisor 1320 and the new remainder 306, and apply the division lemma to get
1320 = 306 x 4 + 96
We consider the new divisor 306 and the new remainder 96,and apply the division lemma to get
306 = 96 x 3 + 18
We consider the new divisor 96 and the new remainder 18,and apply the division lemma to get
96 = 18 x 5 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4266 and 5586 is 6
Notice that 6 = HCF(18,6) = HCF(96,18) = HCF(306,96) = HCF(1320,306) = HCF(4266,1320) = HCF(5586,4266) .
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Frequently Asked Questions on HCF of 4266, 5586 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 4266, 5586?
Answer: HCF of 4266, 5586 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4266, 5586 using Euclid's Algorithm?
Answer: For arbitrary numbers 4266, 5586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.