Highest Common Factor of 9072, 7485 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 9072, 7485 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9072, 7485 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 9072, 7485 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 9072, 7485 is 3.
HCF(9072, 7485) = 3
HCF of 9072, 7485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9072, 7485 is 3.
Highest Common Factor of 9072,7485 is 3
Step 1: Since 9072 > 7485, we apply the division lemma to 9072 and 7485, to get
9072 = 7485 x 1 + 1587
Step 2: Since the reminder 7485 ≠ 0, we apply division lemma to 1587 and 7485, to get
7485 = 1587 x 4 + 1137
Step 3: We consider the new divisor 1587 and the new remainder 1137, and apply the division lemma to get
1587 = 1137 x 1 + 450
We consider the new divisor 1137 and the new remainder 450,and apply the division lemma to get
1137 = 450 x 2 + 237
We consider the new divisor 450 and the new remainder 237,and apply the division lemma to get
450 = 237 x 1 + 213
We consider the new divisor 237 and the new remainder 213,and apply the division lemma to get
237 = 213 x 1 + 24
We consider the new divisor 213 and the new remainder 24,and apply the division lemma to get
213 = 24 x 8 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9072 and 7485 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(213,24) = HCF(237,213) = HCF(450,237) = HCF(1137,450) = HCF(1587,1137) = HCF(7485,1587) = HCF(9072,7485) .
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Frequently Asked Questions on HCF of 9072, 7485 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 9072, 7485?
Answer: HCF of 9072, 7485 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9072, 7485 using Euclid's Algorithm?
Answer: For arbitrary numbers 9072, 7485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.