Highest Common Factor of 764, 55396 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 764, 55396 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 764, 55396 is 4 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 764, 55396 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 764, 55396 is 4.
HCF(764, 55396) = 4
HCF of 764, 55396 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 764, 55396 is 4.
Highest Common Factor of 764,55396 is 4
Step 1: Since 55396 > 764, we apply the division lemma to 55396 and 764, to get
55396 = 764 x 72 + 388
Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 388 and 764, to get
764 = 388 x 1 + 376
Step 3: We consider the new divisor 388 and the new remainder 376, and apply the division lemma to get
388 = 376 x 1 + 12
We consider the new divisor 376 and the new remainder 12,and apply the division lemma to get
376 = 12 x 31 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 764 and 55396 is 4
Notice that 4 = HCF(12,4) = HCF(376,12) = HCF(388,376) = HCF(764,388) = HCF(55396,764) .
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Frequently Asked Questions on HCF of 764, 55396 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 764, 55396?
Answer: HCF of 764, 55396 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 764, 55396 using Euclid's Algorithm?
Answer: For arbitrary numbers 764, 55396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.