Highest Common Factor of 104, 8948, 9834 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 104, 8948, 9834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 104, 8948, 9834 is 2 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 104, 8948, 9834 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 104, 8948, 9834 is 2.
HCF(104, 8948, 9834) = 2
HCF of 104, 8948, 9834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 104, 8948, 9834 is 2.
Highest Common Factor of 104,8948,9834 is 2
Step 1: Since 8948 > 104, we apply the division lemma to 8948 and 104, to get
8948 = 104 x 86 + 4
Step 2: Since the reminder 104 ≠ 0, we apply division lemma to 4 and 104, to get
104 = 4 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 104 and 8948 is 4
Notice that 4 = HCF(104,4) = HCF(8948,104) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9834 > 4, we apply the division lemma to 9834 and 4, to get
9834 = 4 x 2458 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 9834 is 2
Notice that 2 = HCF(4,2) = HCF(9834,4) .
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Frequently Asked Questions on HCF of 104, 8948, 9834 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 104, 8948, 9834?
Answer: HCF of 104, 8948, 9834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 104, 8948, 9834 using Euclid's Algorithm?
Answer: For arbitrary numbers 104, 8948, 9834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.