Highest Common Factor of 4294, 4966 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 4294, 4966 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4294, 4966 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 4294, 4966 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 4294, 4966 is 2.
HCF(4294, 4966) = 2
HCF of 4294, 4966 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4294, 4966 is 2.
Highest Common Factor of 4294,4966 is 2
Step 1: Since 4966 > 4294, we apply the division lemma to 4966 and 4294, to get
4966 = 4294 x 1 + 672
Step 2: Since the reminder 4294 ≠ 0, we apply division lemma to 672 and 4294, to get
4294 = 672 x 6 + 262
Step 3: We consider the new divisor 672 and the new remainder 262, and apply the division lemma to get
672 = 262 x 2 + 148
We consider the new divisor 262 and the new remainder 148,and apply the division lemma to get
262 = 148 x 1 + 114
We consider the new divisor 148 and the new remainder 114,and apply the division lemma to get
148 = 114 x 1 + 34
We consider the new divisor 114 and the new remainder 34,and apply the division lemma to get
114 = 34 x 3 + 12
We consider the new divisor 34 and the new remainder 12,and apply the division lemma to get
34 = 12 x 2 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4294 and 4966 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(34,12) = HCF(114,34) = HCF(148,114) = HCF(262,148) = HCF(672,262) = HCF(4294,672) = HCF(4966,4294) .
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Frequently Asked Questions on HCF of 4294, 4966 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 4294, 4966?
Answer: HCF of 4294, 4966 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4294, 4966 using Euclid's Algorithm?
Answer: For arbitrary numbers 4294, 4966 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.