Highest Common Factor of 4024, 1364, 55448 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 4024, 1364, 55448 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4024, 1364, 55448 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 4024, 1364, 55448 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 4024, 1364, 55448 is 4.
HCF(4024, 1364, 55448) = 4
HCF of 4024, 1364, 55448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4024, 1364, 55448 is 4.
Highest Common Factor of 4024,1364,55448 is 4
Step 1: Since 4024 > 1364, we apply the division lemma to 4024 and 1364, to get
4024 = 1364 x 2 + 1296
Step 2: Since the reminder 1364 ≠ 0, we apply division lemma to 1296 and 1364, to get
1364 = 1296 x 1 + 68
Step 3: We consider the new divisor 1296 and the new remainder 68, and apply the division lemma to get
1296 = 68 x 19 + 4
We consider the new divisor 68 and the new remainder 4, and apply the division lemma to get
68 = 4 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4024 and 1364 is 4
Notice that 4 = HCF(68,4) = HCF(1296,68) = HCF(1364,1296) = HCF(4024,1364) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55448 > 4, we apply the division lemma to 55448 and 4, to get
55448 = 4 x 13862 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 55448 is 4
Notice that 4 = HCF(55448,4) .
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Frequently Asked Questions on HCF of 4024, 1364, 55448 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 4024, 1364, 55448?
Answer: HCF of 4024, 1364, 55448 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4024, 1364, 55448 using Euclid's Algorithm?
Answer: For arbitrary numbers 4024, 1364, 55448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.