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 1660, 4164 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1660, 4164 is 4 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 1660, 4164 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 1660, 4164 is 4.
HCF(1660, 4164) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1660, 4164 is 4.
Step 1: Since 4164 > 1660, we apply the division lemma to 4164 and 1660, to get
4164 = 1660 x 2 + 844
Step 2: Since the reminder 1660 ≠ 0, we apply division lemma to 844 and 1660, to get
1660 = 844 x 1 + 816
Step 3: We consider the new divisor 844 and the new remainder 816, and apply the division lemma to get
844 = 816 x 1 + 28
We consider the new divisor 816 and the new remainder 28,and apply the division lemma to get
816 = 28 x 29 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1660 and 4164 is 4
Notice that 4 = HCF(28,4) = HCF(816,28) = HCF(844,816) = HCF(1660,844) = HCF(4164,1660) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 1660, 4164?
Answer: HCF of 1660, 4164 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1660, 4164 using Euclid's Algorithm?
Answer: For arbitrary numbers 1660, 4164 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.