Highest Common Factor of 9147, 7239 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 9147, 7239 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9147, 7239 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 9147, 7239 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 9147, 7239 is 3.
HCF(9147, 7239) = 3
HCF of 9147, 7239 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9147, 7239 is 3.
Highest Common Factor of 9147,7239 is 3
Step 1: Since 9147 > 7239, we apply the division lemma to 9147 and 7239, to get
9147 = 7239 x 1 + 1908
Step 2: Since the reminder 7239 ≠ 0, we apply division lemma to 1908 and 7239, to get
7239 = 1908 x 3 + 1515
Step 3: We consider the new divisor 1908 and the new remainder 1515, and apply the division lemma to get
1908 = 1515 x 1 + 393
We consider the new divisor 1515 and the new remainder 393,and apply the division lemma to get
1515 = 393 x 3 + 336
We consider the new divisor 393 and the new remainder 336,and apply the division lemma to get
393 = 336 x 1 + 57
We consider the new divisor 336 and the new remainder 57,and apply the division lemma to get
336 = 57 x 5 + 51
We consider the new divisor 57 and the new remainder 51,and apply the division lemma to get
57 = 51 x 1 + 6
We consider the new divisor 51 and the new remainder 6,and apply the division lemma to get
51 = 6 x 8 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9147 and 7239 is 3
Notice that 3 = HCF(6,3) = HCF(51,6) = HCF(57,51) = HCF(336,57) = HCF(393,336) = HCF(1515,393) = HCF(1908,1515) = HCF(7239,1908) = HCF(9147,7239) .
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Frequently Asked Questions on HCF of 9147, 7239 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 9147, 7239?
Answer: HCF of 9147, 7239 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9147, 7239 using Euclid's Algorithm?
Answer: For arbitrary numbers 9147, 7239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.