Highest Common Factor of 7104, 9485 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 7104, 9485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7104, 9485 is 1 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 7104, 9485 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 7104, 9485 is 1.
HCF(7104, 9485) = 1
HCF of 7104, 9485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7104, 9485 is 1.
Highest Common Factor of 7104,9485 is 1
Step 1: Since 9485 > 7104, we apply the division lemma to 9485 and 7104, to get
9485 = 7104 x 1 + 2381
Step 2: Since the reminder 7104 ≠ 0, we apply division lemma to 2381 and 7104, to get
7104 = 2381 x 2 + 2342
Step 3: We consider the new divisor 2381 and the new remainder 2342, and apply the division lemma to get
2381 = 2342 x 1 + 39
We consider the new divisor 2342 and the new remainder 39,and apply the division lemma to get
2342 = 39 x 60 + 2
We consider the new divisor 39 and the new remainder 2,and apply the division lemma to get
39 = 2 x 19 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7104 and 9485 is 1
Notice that 1 = HCF(2,1) = HCF(39,2) = HCF(2342,39) = HCF(2381,2342) = HCF(7104,2381) = HCF(9485,7104) .
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Frequently Asked Questions on HCF of 7104, 9485 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 7104, 9485?
Answer: HCF of 7104, 9485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7104, 9485 using Euclid's Algorithm?
Answer: For arbitrary numbers 7104, 9485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.