Highest Common Factor of 4624, 5968, 55699 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 4624, 5968, 55699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4624, 5968, 55699 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 4624, 5968, 55699 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 4624, 5968, 55699 is 1.
HCF(4624, 5968, 55699) = 1
HCF of 4624, 5968, 55699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4624, 5968, 55699 is 1.
Highest Common Factor of 4624,5968,55699 is 1
Step 1: Since 5968 > 4624, we apply the division lemma to 5968 and 4624, to get
5968 = 4624 x 1 + 1344
Step 2: Since the reminder 4624 ≠ 0, we apply division lemma to 1344 and 4624, to get
4624 = 1344 x 3 + 592
Step 3: We consider the new divisor 1344 and the new remainder 592, and apply the division lemma to get
1344 = 592 x 2 + 160
We consider the new divisor 592 and the new remainder 160,and apply the division lemma to get
592 = 160 x 3 + 112
We consider the new divisor 160 and the new remainder 112,and apply the division lemma to get
160 = 112 x 1 + 48
We consider the new divisor 112 and the new remainder 48,and apply the division lemma to get
112 = 48 x 2 + 16
We consider the new divisor 48 and the new remainder 16,and apply the division lemma to get
48 = 16 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 4624 and 5968 is 16
Notice that 16 = HCF(48,16) = HCF(112,48) = HCF(160,112) = HCF(592,160) = HCF(1344,592) = HCF(4624,1344) = HCF(5968,4624) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55699 > 16, we apply the division lemma to 55699 and 16, to get
55699 = 16 x 3481 + 3
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 3 and 16, to get
16 = 3 x 5 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 55699 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(55699,16) .
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Frequently Asked Questions on HCF of 4624, 5968, 55699 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 4624, 5968, 55699?
Answer: HCF of 4624, 5968, 55699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4624, 5968, 55699 using Euclid's Algorithm?
Answer: For arbitrary numbers 4624, 5968, 55699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.