Highest Common Factor of 3234, 4902 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 3234, 4902 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 3234, 4902 is 6 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 3234, 4902 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 3234, 4902 is 6.
HCF(3234, 4902) = 6
HCF of 3234, 4902 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3234, 4902 is 6.
Highest Common Factor of 3234,4902 is 6
Step 1: Since 4902 > 3234, we apply the division lemma to 4902 and 3234, to get
4902 = 3234 x 1 + 1668
Step 2: Since the reminder 3234 ≠ 0, we apply division lemma to 1668 and 3234, to get
3234 = 1668 x 1 + 1566
Step 3: We consider the new divisor 1668 and the new remainder 1566, and apply the division lemma to get
1668 = 1566 x 1 + 102
We consider the new divisor 1566 and the new remainder 102,and apply the division lemma to get
1566 = 102 x 15 + 36
We consider the new divisor 102 and the new remainder 36,and apply the division lemma to get
102 = 36 x 2 + 30
We consider the new divisor 36 and the new remainder 30,and apply the division lemma to get
36 = 30 x 1 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 3234 and 4902 is 6
Notice that 6 = HCF(30,6) = HCF(36,30) = HCF(102,36) = HCF(1566,102) = HCF(1668,1566) = HCF(3234,1668) = HCF(4902,3234) .
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Frequently Asked Questions on HCF of 3234, 4902 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 3234, 4902?
Answer: HCF of 3234, 4902 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3234, 4902 using Euclid's Algorithm?
Answer: For arbitrary numbers 3234, 4902 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.