Highest Common Factor of 7379, 9512, 54621 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 7379, 9512, 54621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7379, 9512, 54621 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 7379, 9512, 54621 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 7379, 9512, 54621 is 1.
HCF(7379, 9512, 54621) = 1
HCF of 7379, 9512, 54621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7379, 9512, 54621 is 1.
Highest Common Factor of 7379,9512,54621 is 1
Step 1: Since 9512 > 7379, we apply the division lemma to 9512 and 7379, to get
9512 = 7379 x 1 + 2133
Step 2: Since the reminder 7379 ≠ 0, we apply division lemma to 2133 and 7379, to get
7379 = 2133 x 3 + 980
Step 3: We consider the new divisor 2133 and the new remainder 980, and apply the division lemma to get
2133 = 980 x 2 + 173
We consider the new divisor 980 and the new remainder 173,and apply the division lemma to get
980 = 173 x 5 + 115
We consider the new divisor 173 and the new remainder 115,and apply the division lemma to get
173 = 115 x 1 + 58
We consider the new divisor 115 and the new remainder 58,and apply the division lemma to get
115 = 58 x 1 + 57
We consider the new divisor 58 and the new remainder 57,and apply the division lemma to get
58 = 57 x 1 + 1
We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7379 and 9512 is 1
Notice that 1 = HCF(57,1) = HCF(58,57) = HCF(115,58) = HCF(173,115) = HCF(980,173) = HCF(2133,980) = HCF(7379,2133) = HCF(9512,7379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54621 > 1, we apply the division lemma to 54621 and 1, to get
54621 = 1 x 54621 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54621 is 1
Notice that 1 = HCF(54621,1) .
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Frequently Asked Questions on HCF of 7379, 9512, 54621 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 7379, 9512, 54621?
Answer: HCF of 7379, 9512, 54621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7379, 9512, 54621 using Euclid's Algorithm?
Answer: For arbitrary numbers 7379, 9512, 54621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
