Highest Common Factor of 4260, 7617 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 4260, 7617 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4260, 7617 is 3 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 4260, 7617 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 4260, 7617 is 3.
HCF(4260, 7617) = 3
HCF of 4260, 7617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4260, 7617 is 3.
Highest Common Factor of 4260,7617 is 3
Step 1: Since 7617 > 4260, we apply the division lemma to 7617 and 4260, to get
7617 = 4260 x 1 + 3357
Step 2: Since the reminder 4260 ≠ 0, we apply division lemma to 3357 and 4260, to get
4260 = 3357 x 1 + 903
Step 3: We consider the new divisor 3357 and the new remainder 903, and apply the division lemma to get
3357 = 903 x 3 + 648
We consider the new divisor 903 and the new remainder 648,and apply the division lemma to get
903 = 648 x 1 + 255
We consider the new divisor 648 and the new remainder 255,and apply the division lemma to get
648 = 255 x 2 + 138
We consider the new divisor 255 and the new remainder 138,and apply the division lemma to get
255 = 138 x 1 + 117
We consider the new divisor 138 and the new remainder 117,and apply the division lemma to get
138 = 117 x 1 + 21
We consider the new divisor 117 and the new remainder 21,and apply the division lemma to get
117 = 21 x 5 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4260 and 7617 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(117,21) = HCF(138,117) = HCF(255,138) = HCF(648,255) = HCF(903,648) = HCF(3357,903) = HCF(4260,3357) = HCF(7617,4260) .
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Frequently Asked Questions on HCF of 4260, 7617 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 4260, 7617?
Answer: HCF of 4260, 7617 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4260, 7617 using Euclid's Algorithm?
Answer: For arbitrary numbers 4260, 7617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.