Highest Common Factor of 8004, 4140 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 8004, 4140 i.e. 276 the largest integer that leaves a remainder zero for all numbers.
HCF of 8004, 4140 is 276 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 8004, 4140 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 8004, 4140 is 276.
HCF(8004, 4140) = 276
HCF of 8004, 4140 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8004, 4140 is 276.
Highest Common Factor of 8004,4140 is 276
Step 1: Since 8004 > 4140, we apply the division lemma to 8004 and 4140, to get
8004 = 4140 x 1 + 3864
Step 2: Since the reminder 4140 ≠ 0, we apply division lemma to 3864 and 4140, to get
4140 = 3864 x 1 + 276
Step 3: We consider the new divisor 3864 and the new remainder 276, and apply the division lemma to get
3864 = 276 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 276, the HCF of 8004 and 4140 is 276
Notice that 276 = HCF(3864,276) = HCF(4140,3864) = HCF(8004,4140) .
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Frequently Asked Questions on HCF of 8004, 4140 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 8004, 4140?
Answer: HCF of 8004, 4140 is 276 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8004, 4140 using Euclid's Algorithm?
Answer: For arbitrary numbers 8004, 4140 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.