Highest Common Factor of 5727, 7374 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 5727, 7374 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5727, 7374 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 5727, 7374 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 5727, 7374 is 3.
HCF(5727, 7374) = 3
HCF of 5727, 7374 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5727, 7374 is 3.
Highest Common Factor of 5727,7374 is 3
Step 1: Since 7374 > 5727, we apply the division lemma to 7374 and 5727, to get
7374 = 5727 x 1 + 1647
Step 2: Since the reminder 5727 ≠ 0, we apply division lemma to 1647 and 5727, to get
5727 = 1647 x 3 + 786
Step 3: We consider the new divisor 1647 and the new remainder 786, and apply the division lemma to get
1647 = 786 x 2 + 75
We consider the new divisor 786 and the new remainder 75,and apply the division lemma to get
786 = 75 x 10 + 36
We consider the new divisor 75 and the new remainder 36,and apply the division lemma to get
75 = 36 x 2 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5727 and 7374 is 3
Notice that 3 = HCF(36,3) = HCF(75,36) = HCF(786,75) = HCF(1647,786) = HCF(5727,1647) = HCF(7374,5727) .
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Frequently Asked Questions on HCF of 5727, 7374 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 5727, 7374?
Answer: HCF of 5727, 7374 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5727, 7374 using Euclid's Algorithm?
Answer: For arbitrary numbers 5727, 7374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.