Highest Common Factor of 4144, 6692 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 4144, 6692 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 4144, 6692 is 28 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 4144, 6692 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 4144, 6692 is 28.
HCF(4144, 6692) = 28
HCF of 4144, 6692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4144, 6692 is 28.
Highest Common Factor of 4144,6692 is 28
Step 1: Since 6692 > 4144, we apply the division lemma to 6692 and 4144, to get
6692 = 4144 x 1 + 2548
Step 2: Since the reminder 4144 ≠ 0, we apply division lemma to 2548 and 4144, to get
4144 = 2548 x 1 + 1596
Step 3: We consider the new divisor 2548 and the new remainder 1596, and apply the division lemma to get
2548 = 1596 x 1 + 952
We consider the new divisor 1596 and the new remainder 952,and apply the division lemma to get
1596 = 952 x 1 + 644
We consider the new divisor 952 and the new remainder 644,and apply the division lemma to get
952 = 644 x 1 + 308
We consider the new divisor 644 and the new remainder 308,and apply the division lemma to get
644 = 308 x 2 + 28
We consider the new divisor 308 and the new remainder 28,and apply the division lemma to get
308 = 28 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 4144 and 6692 is 28
Notice that 28 = HCF(308,28) = HCF(644,308) = HCF(952,644) = HCF(1596,952) = HCF(2548,1596) = HCF(4144,2548) = HCF(6692,4144) .
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Frequently Asked Questions on HCF of 4144, 6692 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 4144, 6692?
Answer: HCF of 4144, 6692 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4144, 6692 using Euclid's Algorithm?
Answer: For arbitrary numbers 4144, 6692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.