Highest Common Factor of 6276, 4734 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 6276, 4734 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6276, 4734 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 6276, 4734 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 6276, 4734 is 6.
HCF(6276, 4734) = 6
HCF of 6276, 4734 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6276, 4734 is 6.
Highest Common Factor of 6276,4734 is 6
Step 1: Since 6276 > 4734, we apply the division lemma to 6276 and 4734, to get
6276 = 4734 x 1 + 1542
Step 2: Since the reminder 4734 ≠ 0, we apply division lemma to 1542 and 4734, to get
4734 = 1542 x 3 + 108
Step 3: We consider the new divisor 1542 and the new remainder 108, and apply the division lemma to get
1542 = 108 x 14 + 30
We consider the new divisor 108 and the new remainder 30,and apply the division lemma to get
108 = 30 x 3 + 18
We consider the new divisor 30 and the new remainder 18,and apply the division lemma to get
30 = 18 x 1 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6276 and 4734 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) = HCF(108,30) = HCF(1542,108) = HCF(4734,1542) = HCF(6276,4734) .
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Frequently Asked Questions on HCF of 6276, 4734 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 6276, 4734?
Answer: HCF of 6276, 4734 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6276, 4734 using Euclid's Algorithm?
Answer: For arbitrary numbers 6276, 4734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.