Highest Common Factor of 4464, 7504, 57591 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 4464, 7504, 57591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4464, 7504, 57591 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 4464, 7504, 57591 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 4464, 7504, 57591 is 1.
HCF(4464, 7504, 57591) = 1
HCF of 4464, 7504, 57591 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4464, 7504, 57591 is 1.
Highest Common Factor of 4464,7504,57591 is 1
Step 1: Since 7504 > 4464, we apply the division lemma to 7504 and 4464, to get
7504 = 4464 x 1 + 3040
Step 2: Since the reminder 4464 ≠ 0, we apply division lemma to 3040 and 4464, to get
4464 = 3040 x 1 + 1424
Step 3: We consider the new divisor 3040 and the new remainder 1424, and apply the division lemma to get
3040 = 1424 x 2 + 192
We consider the new divisor 1424 and the new remainder 192,and apply the division lemma to get
1424 = 192 x 7 + 80
We consider the new divisor 192 and the new remainder 80,and apply the division lemma to get
192 = 80 x 2 + 32
We consider the new divisor 80 and the new remainder 32,and apply the division lemma to get
80 = 32 x 2 + 16
We consider the new divisor 32 and the new remainder 16,and apply the division lemma to get
32 = 16 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 4464 and 7504 is 16
Notice that 16 = HCF(32,16) = HCF(80,32) = HCF(192,80) = HCF(1424,192) = HCF(3040,1424) = HCF(4464,3040) = HCF(7504,4464) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57591 > 16, we apply the division lemma to 57591 and 16, to get
57591 = 16 x 3599 + 7
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 7 and 16, to get
16 = 7 x 2 + 2
Step 3: We consider the new divisor 7 and the new remainder 2, and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 57591 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(57591,16) .
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Frequently Asked Questions on HCF of 4464, 7504, 57591 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 4464, 7504, 57591?
Answer: HCF of 4464, 7504, 57591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4464, 7504, 57591 using Euclid's Algorithm?
Answer: For arbitrary numbers 4464, 7504, 57591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.