Highest Common Factor of 959, 9879 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 959, 9879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 9879 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 959, 9879 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 959, 9879 is 1.
HCF(959, 9879) = 1
HCF of 959, 9879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 959, 9879 is 1.
Highest Common Factor of 959,9879 is 1
Step 1: Since 9879 > 959, we apply the division lemma to 9879 and 959, to get
9879 = 959 x 10 + 289
Step 2: Since the reminder 959 ≠ 0, we apply division lemma to 289 and 959, to get
959 = 289 x 3 + 92
Step 3: We consider the new divisor 289 and the new remainder 92, and apply the division lemma to get
289 = 92 x 3 + 13
We consider the new divisor 92 and the new remainder 13,and apply the division lemma to get
92 = 13 x 7 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 959 and 9879 is 1
Notice that 1 = HCF(13,1) = HCF(92,13) = HCF(289,92) = HCF(959,289) = HCF(9879,959) .
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Frequently Asked Questions on HCF of 959, 9879 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 959, 9879?
Answer: HCF of 959, 9879 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 9879 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 9879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.