Highest Common Factor of 4428, 7024 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 4428, 7024 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4428, 7024 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 4428, 7024 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 4428, 7024 is 4.
HCF(4428, 7024) = 4
HCF of 4428, 7024 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4428, 7024 is 4.
Highest Common Factor of 4428,7024 is 4
Step 1: Since 7024 > 4428, we apply the division lemma to 7024 and 4428, to get
7024 = 4428 x 1 + 2596
Step 2: Since the reminder 4428 ≠ 0, we apply division lemma to 2596 and 4428, to get
4428 = 2596 x 1 + 1832
Step 3: We consider the new divisor 2596 and the new remainder 1832, and apply the division lemma to get
2596 = 1832 x 1 + 764
We consider the new divisor 1832 and the new remainder 764,and apply the division lemma to get
1832 = 764 x 2 + 304
We consider the new divisor 764 and the new remainder 304,and apply the division lemma to get
764 = 304 x 2 + 156
We consider the new divisor 304 and the new remainder 156,and apply the division lemma to get
304 = 156 x 1 + 148
We consider the new divisor 156 and the new remainder 148,and apply the division lemma to get
156 = 148 x 1 + 8
We consider the new divisor 148 and the new remainder 8,and apply the division lemma to get
148 = 8 x 18 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4428 and 7024 is 4
Notice that 4 = HCF(8,4) = HCF(148,8) = HCF(156,148) = HCF(304,156) = HCF(764,304) = HCF(1832,764) = HCF(2596,1832) = HCF(4428,2596) = HCF(7024,4428) .
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Frequently Asked Questions on HCF of 4428, 7024 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 4428, 7024?
Answer: HCF of 4428, 7024 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4428, 7024 using Euclid's Algorithm?
Answer: For arbitrary numbers 4428, 7024 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.