Highest Common Factor of 115, 22980 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 115, 22980 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 115, 22980 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 115, 22980 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 115, 22980 is 5.
HCF(115, 22980) = 5
HCF of 115, 22980 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 115, 22980 is 5.
Highest Common Factor of 115,22980 is 5
Step 1: Since 22980 > 115, we apply the division lemma to 22980 and 115, to get
22980 = 115 x 199 + 95
Step 2: Since the reminder 115 ≠ 0, we apply division lemma to 95 and 115, to get
115 = 95 x 1 + 20
Step 3: We consider the new divisor 95 and the new remainder 20, and apply the division lemma to get
95 = 20 x 4 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 115 and 22980 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(95,20) = HCF(115,95) = HCF(22980,115) .
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Frequently Asked Questions on HCF of 115, 22980 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 115, 22980?
Answer: HCF of 115, 22980 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 115, 22980 using Euclid's Algorithm?
Answer: For arbitrary numbers 115, 22980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
