Highest Common Factor of 9116, 1954 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 9116, 1954 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9116, 1954 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 9116, 1954 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 9116, 1954 is 2.
HCF(9116, 1954) = 2
HCF of 9116, 1954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9116, 1954 is 2.
Highest Common Factor of 9116,1954 is 2
Step 1: Since 9116 > 1954, we apply the division lemma to 9116 and 1954, to get
9116 = 1954 x 4 + 1300
Step 2: Since the reminder 1954 ≠ 0, we apply division lemma to 1300 and 1954, to get
1954 = 1300 x 1 + 654
Step 3: We consider the new divisor 1300 and the new remainder 654, and apply the division lemma to get
1300 = 654 x 1 + 646
We consider the new divisor 654 and the new remainder 646,and apply the division lemma to get
654 = 646 x 1 + 8
We consider the new divisor 646 and the new remainder 8,and apply the division lemma to get
646 = 8 x 80 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9116 and 1954 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(646,8) = HCF(654,646) = HCF(1300,654) = HCF(1954,1300) = HCF(9116,1954) .
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Frequently Asked Questions on HCF of 9116, 1954 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 9116, 1954?
Answer: HCF of 9116, 1954 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9116, 1954 using Euclid's Algorithm?
Answer: For arbitrary numbers 9116, 1954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.