Highest Common Factor of 4278, 4059 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 4278, 4059 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4278, 4059 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 4278, 4059 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 4278, 4059 is 3.
HCF(4278, 4059) = 3
HCF of 4278, 4059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4278, 4059 is 3.
Highest Common Factor of 4278,4059 is 3
Step 1: Since 4278 > 4059, we apply the division lemma to 4278 and 4059, to get
4278 = 4059 x 1 + 219
Step 2: Since the reminder 4059 ≠ 0, we apply division lemma to 219 and 4059, to get
4059 = 219 x 18 + 117
Step 3: We consider the new divisor 219 and the new remainder 117, and apply the division lemma to get
219 = 117 x 1 + 102
We consider the new divisor 117 and the new remainder 102,and apply the division lemma to get
117 = 102 x 1 + 15
We consider the new divisor 102 and the new remainder 15,and apply the division lemma to get
102 = 15 x 6 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 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 4278 and 4059 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(102,15) = HCF(117,102) = HCF(219,117) = HCF(4059,219) = HCF(4278,4059) .
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Frequently Asked Questions on HCF of 4278, 4059 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 4278, 4059?
Answer: HCF of 4278, 4059 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4278, 4059 using Euclid's Algorithm?
Answer: For arbitrary numbers 4278, 4059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.