Highest Common Factor of 4838, 8654, 53120 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 4838, 8654, 53120 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4838, 8654, 53120 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 4838, 8654, 53120 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 4838, 8654, 53120 is 2.
HCF(4838, 8654, 53120) = 2
HCF of 4838, 8654, 53120 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4838, 8654, 53120 is 2.
Highest Common Factor of 4838,8654,53120 is 2
Step 1: Since 8654 > 4838, we apply the division lemma to 8654 and 4838, to get
8654 = 4838 x 1 + 3816
Step 2: Since the reminder 4838 ≠ 0, we apply division lemma to 3816 and 4838, to get
4838 = 3816 x 1 + 1022
Step 3: We consider the new divisor 3816 and the new remainder 1022, and apply the division lemma to get
3816 = 1022 x 3 + 750
We consider the new divisor 1022 and the new remainder 750,and apply the division lemma to get
1022 = 750 x 1 + 272
We consider the new divisor 750 and the new remainder 272,and apply the division lemma to get
750 = 272 x 2 + 206
We consider the new divisor 272 and the new remainder 206,and apply the division lemma to get
272 = 206 x 1 + 66
We consider the new divisor 206 and the new remainder 66,and apply the division lemma to get
206 = 66 x 3 + 8
We consider the new divisor 66 and the new remainder 8,and apply the division lemma to get
66 = 8 x 8 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4838 and 8654 is 2
Notice that 2 = HCF(8,2) = HCF(66,8) = HCF(206,66) = HCF(272,206) = HCF(750,272) = HCF(1022,750) = HCF(3816,1022) = HCF(4838,3816) = HCF(8654,4838) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53120 > 2, we apply the division lemma to 53120 and 2, to get
53120 = 2 x 26560 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 53120 is 2
Notice that 2 = HCF(53120,2) .
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Frequently Asked Questions on HCF of 4838, 8654, 53120 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 4838, 8654, 53120?
Answer: HCF of 4838, 8654, 53120 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4838, 8654, 53120 using Euclid's Algorithm?
Answer: For arbitrary numbers 4838, 8654, 53120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.