Highest Common Factor of 4878, 1881 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 4878, 1881 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4878, 1881 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 4878, 1881 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 4878, 1881 is 9.
HCF(4878, 1881) = 9
HCF of 4878, 1881 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4878, 1881 is 9.
Highest Common Factor of 4878,1881 is 9
Step 1: Since 4878 > 1881, we apply the division lemma to 4878 and 1881, to get
4878 = 1881 x 2 + 1116
Step 2: Since the reminder 1881 ≠ 0, we apply division lemma to 1116 and 1881, to get
1881 = 1116 x 1 + 765
Step 3: We consider the new divisor 1116 and the new remainder 765, and apply the division lemma to get
1116 = 765 x 1 + 351
We consider the new divisor 765 and the new remainder 351,and apply the division lemma to get
765 = 351 x 2 + 63
We consider the new divisor 351 and the new remainder 63,and apply the division lemma to get
351 = 63 x 5 + 36
We consider the new divisor 63 and the new remainder 36,and apply the division lemma to get
63 = 36 x 1 + 27
We consider the new divisor 36 and the new remainder 27,and apply the division lemma to get
36 = 27 x 1 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4878 and 1881 is 9
Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(63,36) = HCF(351,63) = HCF(765,351) = HCF(1116,765) = HCF(1881,1116) = HCF(4878,1881) .
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Frequently Asked Questions on HCF of 4878, 1881 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 4878, 1881?
Answer: HCF of 4878, 1881 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4878, 1881 using Euclid's Algorithm?
Answer: For arbitrary numbers 4878, 1881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.