Highest Common Factor of 4915, 872 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 4915, 872 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4915, 872 is 1 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 4915, 872 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 4915, 872 is 1.
HCF(4915, 872) = 1
HCF of 4915, 872 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4915, 872 is 1.
Highest Common Factor of 4915,872 is 1
Step 1: Since 4915 > 872, we apply the division lemma to 4915 and 872, to get
4915 = 872 x 5 + 555
Step 2: Since the reminder 872 ≠ 0, we apply division lemma to 555 and 872, to get
872 = 555 x 1 + 317
Step 3: We consider the new divisor 555 and the new remainder 317, and apply the division lemma to get
555 = 317 x 1 + 238
We consider the new divisor 317 and the new remainder 238,and apply the division lemma to get
317 = 238 x 1 + 79
We consider the new divisor 238 and the new remainder 79,and apply the division lemma to get
238 = 79 x 3 + 1
We consider the new divisor 79 and the new remainder 1,and apply the division lemma to get
79 = 1 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4915 and 872 is 1
Notice that 1 = HCF(79,1) = HCF(238,79) = HCF(317,238) = HCF(555,317) = HCF(872,555) = HCF(4915,872) .
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Frequently Asked Questions on HCF of 4915, 872 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 4915, 872?
Answer: HCF of 4915, 872 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4915, 872 using Euclid's Algorithm?
Answer: For arbitrary numbers 4915, 872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.