Highest Common Factor of 4146, 6660 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 4146, 6660 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4146, 6660 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 4146, 6660 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 4146, 6660 is 6.
HCF(4146, 6660) = 6
HCF of 4146, 6660 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4146, 6660 is 6.
Highest Common Factor of 4146,6660 is 6
Step 1: Since 6660 > 4146, we apply the division lemma to 6660 and 4146, to get
6660 = 4146 x 1 + 2514
Step 2: Since the reminder 4146 ≠ 0, we apply division lemma to 2514 and 4146, to get
4146 = 2514 x 1 + 1632
Step 3: We consider the new divisor 2514 and the new remainder 1632, and apply the division lemma to get
2514 = 1632 x 1 + 882
We consider the new divisor 1632 and the new remainder 882,and apply the division lemma to get
1632 = 882 x 1 + 750
We consider the new divisor 882 and the new remainder 750,and apply the division lemma to get
882 = 750 x 1 + 132
We consider the new divisor 750 and the new remainder 132,and apply the division lemma to get
750 = 132 x 5 + 90
We consider the new divisor 132 and the new remainder 90,and apply the division lemma to get
132 = 90 x 1 + 42
We consider the new divisor 90 and the new remainder 42,and apply the division lemma to get
90 = 42 x 2 + 6
We consider the new divisor 42 and the new remainder 6,and apply the division lemma to get
42 = 6 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4146 and 6660 is 6
Notice that 6 = HCF(42,6) = HCF(90,42) = HCF(132,90) = HCF(750,132) = HCF(882,750) = HCF(1632,882) = HCF(2514,1632) = HCF(4146,2514) = HCF(6660,4146) .
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Frequently Asked Questions on HCF of 4146, 6660 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 4146, 6660?
Answer: HCF of 4146, 6660 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4146, 6660 using Euclid's Algorithm?
Answer: For arbitrary numbers 4146, 6660 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.