Highest Common Factor of 7324, 1589 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 7324, 1589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7324, 1589 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 7324, 1589 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 7324, 1589 is 1.
HCF(7324, 1589) = 1
HCF of 7324, 1589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7324, 1589 is 1.
Highest Common Factor of 7324,1589 is 1
Step 1: Since 7324 > 1589, we apply the division lemma to 7324 and 1589, to get
7324 = 1589 x 4 + 968
Step 2: Since the reminder 1589 ≠ 0, we apply division lemma to 968 and 1589, to get
1589 = 968 x 1 + 621
Step 3: We consider the new divisor 968 and the new remainder 621, and apply the division lemma to get
968 = 621 x 1 + 347
We consider the new divisor 621 and the new remainder 347,and apply the division lemma to get
621 = 347 x 1 + 274
We consider the new divisor 347 and the new remainder 274,and apply the division lemma to get
347 = 274 x 1 + 73
We consider the new divisor 274 and the new remainder 73,and apply the division lemma to get
274 = 73 x 3 + 55
We consider the new divisor 73 and the new remainder 55,and apply the division lemma to get
73 = 55 x 1 + 18
We consider the new divisor 55 and the new remainder 18,and apply the division lemma to get
55 = 18 x 3 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7324 and 1589 is 1
Notice that 1 = HCF(18,1) = HCF(55,18) = HCF(73,55) = HCF(274,73) = HCF(347,274) = HCF(621,347) = HCF(968,621) = HCF(1589,968) = HCF(7324,1589) .
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Frequently Asked Questions on HCF of 7324, 1589 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 7324, 1589?
Answer: HCF of 7324, 1589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7324, 1589 using Euclid's Algorithm?
Answer: For arbitrary numbers 7324, 1589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.