Highest Common Factor of 4917, 9057 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 4917, 9057 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4917, 9057 is 3 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 4917, 9057 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 4917, 9057 is 3.
HCF(4917, 9057) = 3
HCF of 4917, 9057 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4917, 9057 is 3.
Highest Common Factor of 4917,9057 is 3
Step 1: Since 9057 > 4917, we apply the division lemma to 9057 and 4917, to get
9057 = 4917 x 1 + 4140
Step 2: Since the reminder 4917 ≠ 0, we apply division lemma to 4140 and 4917, to get
4917 = 4140 x 1 + 777
Step 3: We consider the new divisor 4140 and the new remainder 777, and apply the division lemma to get
4140 = 777 x 5 + 255
We consider the new divisor 777 and the new remainder 255,and apply the division lemma to get
777 = 255 x 3 + 12
We consider the new divisor 255 and the new remainder 12,and apply the division lemma to get
255 = 12 x 21 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4917 and 9057 is 3
Notice that 3 = HCF(12,3) = HCF(255,12) = HCF(777,255) = HCF(4140,777) = HCF(4917,4140) = HCF(9057,4917) .
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Frequently Asked Questions on HCF of 4917, 9057 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 4917, 9057?
Answer: HCF of 4917, 9057 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4917, 9057 using Euclid's Algorithm?
Answer: For arbitrary numbers 4917, 9057 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.