Highest Common Factor of 5364, 7366 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 5364, 7366 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5364, 7366 is 2 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 5364, 7366 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 5364, 7366 is 2.
HCF(5364, 7366) = 2
HCF of 5364, 7366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5364, 7366 is 2.
Highest Common Factor of 5364,7366 is 2
Step 1: Since 7366 > 5364, we apply the division lemma to 7366 and 5364, to get
7366 = 5364 x 1 + 2002
Step 2: Since the reminder 5364 ≠ 0, we apply division lemma to 2002 and 5364, to get
5364 = 2002 x 2 + 1360
Step 3: We consider the new divisor 2002 and the new remainder 1360, and apply the division lemma to get
2002 = 1360 x 1 + 642
We consider the new divisor 1360 and the new remainder 642,and apply the division lemma to get
1360 = 642 x 2 + 76
We consider the new divisor 642 and the new remainder 76,and apply the division lemma to get
642 = 76 x 8 + 34
We consider the new divisor 76 and the new remainder 34,and apply the division lemma to get
76 = 34 x 2 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5364 and 7366 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(76,34) = HCF(642,76) = HCF(1360,642) = HCF(2002,1360) = HCF(5364,2002) = HCF(7366,5364) .
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Frequently Asked Questions on HCF of 5364, 7366 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 5364, 7366?
Answer: HCF of 5364, 7366 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5364, 7366 using Euclid's Algorithm?
Answer: For arbitrary numbers 5364, 7366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.