Highest Common Factor of 4524, 1266 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 4524, 1266 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4524, 1266 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 4524, 1266 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 4524, 1266 is 6.
HCF(4524, 1266) = 6
HCF of 4524, 1266 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4524, 1266 is 6.
Highest Common Factor of 4524,1266 is 6
Step 1: Since 4524 > 1266, we apply the division lemma to 4524 and 1266, to get
4524 = 1266 x 3 + 726
Step 2: Since the reminder 1266 ≠ 0, we apply division lemma to 726 and 1266, to get
1266 = 726 x 1 + 540
Step 3: We consider the new divisor 726 and the new remainder 540, and apply the division lemma to get
726 = 540 x 1 + 186
We consider the new divisor 540 and the new remainder 186,and apply the division lemma to get
540 = 186 x 2 + 168
We consider the new divisor 186 and the new remainder 168,and apply the division lemma to get
186 = 168 x 1 + 18
We consider the new divisor 168 and the new remainder 18,and apply the division lemma to get
168 = 18 x 9 + 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 4524 and 1266 is 6
Notice that 6 = HCF(18,6) = HCF(168,18) = HCF(186,168) = HCF(540,186) = HCF(726,540) = HCF(1266,726) = HCF(4524,1266) .
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Frequently Asked Questions on HCF of 4524, 1266 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 4524, 1266?
Answer: HCF of 4524, 1266 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4524, 1266 using Euclid's Algorithm?
Answer: For arbitrary numbers 4524, 1266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.