Highest Common Factor of 6076, 9396 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 6076, 9396 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6076, 9396 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 6076, 9396 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 6076, 9396 is 4.
HCF(6076, 9396) = 4
HCF of 6076, 9396 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6076, 9396 is 4.
Highest Common Factor of 6076,9396 is 4
Step 1: Since 9396 > 6076, we apply the division lemma to 9396 and 6076, to get
9396 = 6076 x 1 + 3320
Step 2: Since the reminder 6076 ≠ 0, we apply division lemma to 3320 and 6076, to get
6076 = 3320 x 1 + 2756
Step 3: We consider the new divisor 3320 and the new remainder 2756, and apply the division lemma to get
3320 = 2756 x 1 + 564
We consider the new divisor 2756 and the new remainder 564,and apply the division lemma to get
2756 = 564 x 4 + 500
We consider the new divisor 564 and the new remainder 500,and apply the division lemma to get
564 = 500 x 1 + 64
We consider the new divisor 500 and the new remainder 64,and apply the division lemma to get
500 = 64 x 7 + 52
We consider the new divisor 64 and the new remainder 52,and apply the division lemma to get
64 = 52 x 1 + 12
We consider the new divisor 52 and the new remainder 12,and apply the division lemma to get
52 = 12 x 4 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6076 and 9396 is 4
Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(64,52) = HCF(500,64) = HCF(564,500) = HCF(2756,564) = HCF(3320,2756) = HCF(6076,3320) = HCF(9396,6076) .
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Frequently Asked Questions on HCF of 6076, 9396 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 6076, 9396?
Answer: HCF of 6076, 9396 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6076, 9396 using Euclid's Algorithm?
Answer: For arbitrary numbers 6076, 9396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
