Highest Common Factor of 4905, 7191 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 4905, 7191 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4905, 7191 is 9 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 4905, 7191 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 4905, 7191 is 9.
HCF(4905, 7191) = 9
HCF of 4905, 7191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4905, 7191 is 9.
Highest Common Factor of 4905,7191 is 9
Step 1: Since 7191 > 4905, we apply the division lemma to 7191 and 4905, to get
7191 = 4905 x 1 + 2286
Step 2: Since the reminder 4905 ≠ 0, we apply division lemma to 2286 and 4905, to get
4905 = 2286 x 2 + 333
Step 3: We consider the new divisor 2286 and the new remainder 333, and apply the division lemma to get
2286 = 333 x 6 + 288
We consider the new divisor 333 and the new remainder 288,and apply the division lemma to get
333 = 288 x 1 + 45
We consider the new divisor 288 and the new remainder 45,and apply the division lemma to get
288 = 45 x 6 + 18
We consider the new divisor 45 and the new remainder 18,and apply the division lemma to get
45 = 18 x 2 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4905 and 7191 is 9
Notice that 9 = HCF(18,9) = HCF(45,18) = HCF(288,45) = HCF(333,288) = HCF(2286,333) = HCF(4905,2286) = HCF(7191,4905) .
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Frequently Asked Questions on HCF of 4905, 7191 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 4905, 7191?
Answer: HCF of 4905, 7191 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4905, 7191 using Euclid's Algorithm?
Answer: For arbitrary numbers 4905, 7191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
