Highest Common Factor of 8921, 4954 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 8921, 4954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8921, 4954 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 8921, 4954 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 8921, 4954 is 1.
HCF(8921, 4954) = 1
HCF of 8921, 4954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8921, 4954 is 1.
Highest Common Factor of 8921,4954 is 1
Step 1: Since 8921 > 4954, we apply the division lemma to 8921 and 4954, to get
8921 = 4954 x 1 + 3967
Step 2: Since the reminder 4954 ≠ 0, we apply division lemma to 3967 and 4954, to get
4954 = 3967 x 1 + 987
Step 3: We consider the new divisor 3967 and the new remainder 987, and apply the division lemma to get
3967 = 987 x 4 + 19
We consider the new divisor 987 and the new remainder 19,and apply the division lemma to get
987 = 19 x 51 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8921 and 4954 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(987,19) = HCF(3967,987) = HCF(4954,3967) = HCF(8921,4954) .
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Frequently Asked Questions on HCF of 8921, 4954 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 8921, 4954?
Answer: HCF of 8921, 4954 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8921, 4954 using Euclid's Algorithm?
Answer: For arbitrary numbers 8921, 4954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.