Highest Common Factor of 4508, 7224 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 4508, 7224 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 4508, 7224 is 28 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 4508, 7224 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 4508, 7224 is 28.
HCF(4508, 7224) = 28
HCF of 4508, 7224 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4508, 7224 is 28.
Highest Common Factor of 4508,7224 is 28
Step 1: Since 7224 > 4508, we apply the division lemma to 7224 and 4508, to get
7224 = 4508 x 1 + 2716
Step 2: Since the reminder 4508 ≠ 0, we apply division lemma to 2716 and 4508, to get
4508 = 2716 x 1 + 1792
Step 3: We consider the new divisor 2716 and the new remainder 1792, and apply the division lemma to get
2716 = 1792 x 1 + 924
We consider the new divisor 1792 and the new remainder 924,and apply the division lemma to get
1792 = 924 x 1 + 868
We consider the new divisor 924 and the new remainder 868,and apply the division lemma to get
924 = 868 x 1 + 56
We consider the new divisor 868 and the new remainder 56,and apply the division lemma to get
868 = 56 x 15 + 28
We consider the new divisor 56 and the new remainder 28,and apply the division lemma to get
56 = 28 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 4508 and 7224 is 28
Notice that 28 = HCF(56,28) = HCF(868,56) = HCF(924,868) = HCF(1792,924) = HCF(2716,1792) = HCF(4508,2716) = HCF(7224,4508) .
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Frequently Asked Questions on HCF of 4508, 7224 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 4508, 7224?
Answer: HCF of 4508, 7224 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4508, 7224 using Euclid's Algorithm?
Answer: For arbitrary numbers 4508, 7224 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.