Highest Common Factor of 7336, 6392, 61954 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 7336, 6392, 61954 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7336, 6392, 61954 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 7336, 6392, 61954 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 7336, 6392, 61954 is 2.
HCF(7336, 6392, 61954) = 2
HCF of 7336, 6392, 61954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7336, 6392, 61954 is 2.
Highest Common Factor of 7336,6392,61954 is 2
Step 1: Since 7336 > 6392, we apply the division lemma to 7336 and 6392, to get
7336 = 6392 x 1 + 944
Step 2: Since the reminder 6392 ≠ 0, we apply division lemma to 944 and 6392, to get
6392 = 944 x 6 + 728
Step 3: We consider the new divisor 944 and the new remainder 728, and apply the division lemma to get
944 = 728 x 1 + 216
We consider the new divisor 728 and the new remainder 216,and apply the division lemma to get
728 = 216 x 3 + 80
We consider the new divisor 216 and the new remainder 80,and apply the division lemma to get
216 = 80 x 2 + 56
We consider the new divisor 80 and the new remainder 56,and apply the division lemma to get
80 = 56 x 1 + 24
We consider the new divisor 56 and the new remainder 24,and apply the division lemma to get
56 = 24 x 2 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7336 and 6392 is 8
Notice that 8 = HCF(24,8) = HCF(56,24) = HCF(80,56) = HCF(216,80) = HCF(728,216) = HCF(944,728) = HCF(6392,944) = HCF(7336,6392) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61954 > 8, we apply the division lemma to 61954 and 8, to get
61954 = 8 x 7744 + 2
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 2 and 8, 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 8 and 61954 is 2
Notice that 2 = HCF(8,2) = HCF(61954,8) .
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Frequently Asked Questions on HCF of 7336, 6392, 61954 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 7336, 6392, 61954?
Answer: HCF of 7336, 6392, 61954 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7336, 6392, 61954 using Euclid's Algorithm?
Answer: For arbitrary numbers 7336, 6392, 61954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
