Highest Common Factor of 2504, 8024 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 2504, 8024 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 2504, 8024 is 8 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 2504, 8024 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 2504, 8024 is 8.
HCF(2504, 8024) = 8
HCF of 2504, 8024 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2504, 8024 is 8.
Highest Common Factor of 2504,8024 is 8
Step 1: Since 8024 > 2504, we apply the division lemma to 8024 and 2504, to get
8024 = 2504 x 3 + 512
Step 2: Since the reminder 2504 ≠ 0, we apply division lemma to 512 and 2504, to get
2504 = 512 x 4 + 456
Step 3: We consider the new divisor 512 and the new remainder 456, and apply the division lemma to get
512 = 456 x 1 + 56
We consider the new divisor 456 and the new remainder 56,and apply the division lemma to get
456 = 56 x 8 + 8
We consider the new divisor 56 and the new remainder 8,and apply the division lemma to get
56 = 8 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 2504 and 8024 is 8
Notice that 8 = HCF(56,8) = HCF(456,56) = HCF(512,456) = HCF(2504,512) = HCF(8024,2504) .
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Frequently Asked Questions on HCF of 2504, 8024 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 2504, 8024?
Answer: HCF of 2504, 8024 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2504, 8024 using Euclid's Algorithm?
Answer: For arbitrary numbers 2504, 8024 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.