Highest Common Factor of 9208, 6652 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 9208, 6652 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9208, 6652 is 4 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 9208, 6652 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 9208, 6652 is 4.
HCF(9208, 6652) = 4
HCF of 9208, 6652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9208, 6652 is 4.
Highest Common Factor of 9208,6652 is 4
Step 1: Since 9208 > 6652, we apply the division lemma to 9208 and 6652, to get
9208 = 6652 x 1 + 2556
Step 2: Since the reminder 6652 ≠ 0, we apply division lemma to 2556 and 6652, to get
6652 = 2556 x 2 + 1540
Step 3: We consider the new divisor 2556 and the new remainder 1540, and apply the division lemma to get
2556 = 1540 x 1 + 1016
We consider the new divisor 1540 and the new remainder 1016,and apply the division lemma to get
1540 = 1016 x 1 + 524
We consider the new divisor 1016 and the new remainder 524,and apply the division lemma to get
1016 = 524 x 1 + 492
We consider the new divisor 524 and the new remainder 492,and apply the division lemma to get
524 = 492 x 1 + 32
We consider the new divisor 492 and the new remainder 32,and apply the division lemma to get
492 = 32 x 15 + 12
We consider the new divisor 32 and the new remainder 12,and apply the division lemma to get
32 = 12 x 2 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9208 and 6652 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(32,12) = HCF(492,32) = HCF(524,492) = HCF(1016,524) = HCF(1540,1016) = HCF(2556,1540) = HCF(6652,2556) = HCF(9208,6652) .
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Frequently Asked Questions on HCF of 9208, 6652 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 9208, 6652?
Answer: HCF of 9208, 6652 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9208, 6652 using Euclid's Algorithm?
Answer: For arbitrary numbers 9208, 6652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.