Highest Common Factor of 7184, 1485 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 7184, 1485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7184, 1485 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 7184, 1485 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 7184, 1485 is 1.
HCF(7184, 1485) = 1
HCF of 7184, 1485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7184, 1485 is 1.
Highest Common Factor of 7184,1485 is 1
Step 1: Since 7184 > 1485, we apply the division lemma to 7184 and 1485, to get
7184 = 1485 x 4 + 1244
Step 2: Since the reminder 1485 ≠ 0, we apply division lemma to 1244 and 1485, to get
1485 = 1244 x 1 + 241
Step 3: We consider the new divisor 1244 and the new remainder 241, and apply the division lemma to get
1244 = 241 x 5 + 39
We consider the new divisor 241 and the new remainder 39,and apply the division lemma to get
241 = 39 x 6 + 7
We consider the new divisor 39 and the new remainder 7,and apply the division lemma to get
39 = 7 x 5 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7184 and 1485 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(39,7) = HCF(241,39) = HCF(1244,241) = HCF(1485,1244) = HCF(7184,1485) .
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Frequently Asked Questions on HCF of 7184, 1485 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 7184, 1485?
Answer: HCF of 7184, 1485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7184, 1485 using Euclid's Algorithm?
Answer: For arbitrary numbers 7184, 1485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.