Highest Common Factor of 6654, 4134 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 6654, 4134 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6654, 4134 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 6654, 4134 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 6654, 4134 is 6.
HCF(6654, 4134) = 6
HCF of 6654, 4134 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6654, 4134 is 6.
Highest Common Factor of 6654,4134 is 6
Step 1: Since 6654 > 4134, we apply the division lemma to 6654 and 4134, to get
6654 = 4134 x 1 + 2520
Step 2: Since the reminder 4134 ≠ 0, we apply division lemma to 2520 and 4134, to get
4134 = 2520 x 1 + 1614
Step 3: We consider the new divisor 2520 and the new remainder 1614, and apply the division lemma to get
2520 = 1614 x 1 + 906
We consider the new divisor 1614 and the new remainder 906,and apply the division lemma to get
1614 = 906 x 1 + 708
We consider the new divisor 906 and the new remainder 708,and apply the division lemma to get
906 = 708 x 1 + 198
We consider the new divisor 708 and the new remainder 198,and apply the division lemma to get
708 = 198 x 3 + 114
We consider the new divisor 198 and the new remainder 114,and apply the division lemma to get
198 = 114 x 1 + 84
We consider the new divisor 114 and the new remainder 84,and apply the division lemma to get
114 = 84 x 1 + 30
We consider the new divisor 84 and the new remainder 30,and apply the division lemma to get
84 = 30 x 2 + 24
We consider the new divisor 30 and the new remainder 24,and apply the division lemma to get
30 = 24 x 1 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6654 and 4134 is 6
Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(84,30) = HCF(114,84) = HCF(198,114) = HCF(708,198) = HCF(906,708) = HCF(1614,906) = HCF(2520,1614) = HCF(4134,2520) = HCF(6654,4134) .
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Frequently Asked Questions on HCF of 6654, 4134 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 6654, 4134?
Answer: HCF of 6654, 4134 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6654, 4134 using Euclid's Algorithm?
Answer: For arbitrary numbers 6654, 4134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.