Highest Common Factor of 6000, 8875 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 6000, 8875 i.e. 125 the largest integer that leaves a remainder zero for all numbers.
HCF of 6000, 8875 is 125 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 6000, 8875 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 6000, 8875 is 125.
HCF(6000, 8875) = 125
HCF of 6000, 8875 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6000, 8875 is 125.
Highest Common Factor of 6000,8875 is 125
Step 1: Since 8875 > 6000, we apply the division lemma to 8875 and 6000, to get
8875 = 6000 x 1 + 2875
Step 2: Since the reminder 6000 ≠ 0, we apply division lemma to 2875 and 6000, to get
6000 = 2875 x 2 + 250
Step 3: We consider the new divisor 2875 and the new remainder 250, and apply the division lemma to get
2875 = 250 x 11 + 125
We consider the new divisor 250 and the new remainder 125, and apply the division lemma to get
250 = 125 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 125, the HCF of 6000 and 8875 is 125
Notice that 125 = HCF(250,125) = HCF(2875,250) = HCF(6000,2875) = HCF(8875,6000) .
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Frequently Asked Questions on HCF of 6000, 8875 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 6000, 8875?
Answer: HCF of 6000, 8875 is 125 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6000, 8875 using Euclid's Algorithm?
Answer: For arbitrary numbers 6000, 8875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.