Highest Common Factor of 9747, 9006 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 9747, 9006 i.e. 57 the largest integer that leaves a remainder zero for all numbers.
HCF of 9747, 9006 is 57 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 9747, 9006 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 9747, 9006 is 57.
HCF(9747, 9006) = 57
HCF of 9747, 9006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9747, 9006 is 57.
Highest Common Factor of 9747,9006 is 57
Step 1: Since 9747 > 9006, we apply the division lemma to 9747 and 9006, to get
9747 = 9006 x 1 + 741
Step 2: Since the reminder 9006 ≠ 0, we apply division lemma to 741 and 9006, to get
9006 = 741 x 12 + 114
Step 3: We consider the new divisor 741 and the new remainder 114, and apply the division lemma to get
741 = 114 x 6 + 57
We consider the new divisor 114 and the new remainder 57, and apply the division lemma to get
114 = 57 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 9747 and 9006 is 57
Notice that 57 = HCF(114,57) = HCF(741,114) = HCF(9006,741) = HCF(9747,9006) .
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Frequently Asked Questions on HCF of 9747, 9006 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 9747, 9006?
Answer: HCF of 9747, 9006 is 57 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9747, 9006 using Euclid's Algorithm?
Answer: For arbitrary numbers 9747, 9006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
