Highest Common Factor of 3875, 8760 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 3875, 8760 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3875, 8760 is 5 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 3875, 8760 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 3875, 8760 is 5.
HCF(3875, 8760) = 5
HCF of 3875, 8760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3875, 8760 is 5.
Highest Common Factor of 3875,8760 is 5
Step 1: Since 8760 > 3875, we apply the division lemma to 8760 and 3875, to get
8760 = 3875 x 2 + 1010
Step 2: Since the reminder 3875 ≠ 0, we apply division lemma to 1010 and 3875, to get
3875 = 1010 x 3 + 845
Step 3: We consider the new divisor 1010 and the new remainder 845, and apply the division lemma to get
1010 = 845 x 1 + 165
We consider the new divisor 845 and the new remainder 165,and apply the division lemma to get
845 = 165 x 5 + 20
We consider the new divisor 165 and the new remainder 20,and apply the division lemma to get
165 = 20 x 8 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3875 and 8760 is 5
Notice that 5 = HCF(20,5) = HCF(165,20) = HCF(845,165) = HCF(1010,845) = HCF(3875,1010) = HCF(8760,3875) .
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Frequently Asked Questions on HCF of 3875, 8760 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 3875, 8760?
Answer: HCF of 3875, 8760 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3875, 8760 using Euclid's Algorithm?
Answer: For arbitrary numbers 3875, 8760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.