Highest Common Factor of 6692, 4808 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 6692, 4808 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6692, 4808 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 6692, 4808 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 6692, 4808 is 4.
HCF(6692, 4808) = 4
HCF of 6692, 4808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6692, 4808 is 4.
Highest Common Factor of 6692,4808 is 4
Step 1: Since 6692 > 4808, we apply the division lemma to 6692 and 4808, to get
6692 = 4808 x 1 + 1884
Step 2: Since the reminder 4808 ≠ 0, we apply division lemma to 1884 and 4808, to get
4808 = 1884 x 2 + 1040
Step 3: We consider the new divisor 1884 and the new remainder 1040, and apply the division lemma to get
1884 = 1040 x 1 + 844
We consider the new divisor 1040 and the new remainder 844,and apply the division lemma to get
1040 = 844 x 1 + 196
We consider the new divisor 844 and the new remainder 196,and apply the division lemma to get
844 = 196 x 4 + 60
We consider the new divisor 196 and the new remainder 60,and apply the division lemma to get
196 = 60 x 3 + 16
We consider the new divisor 60 and the new remainder 16,and apply the division lemma to get
60 = 16 x 3 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6692 and 4808 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(60,16) = HCF(196,60) = HCF(844,196) = HCF(1040,844) = HCF(1884,1040) = HCF(4808,1884) = HCF(6692,4808) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6692, 4808 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 6692, 4808?
Answer: HCF of 6692, 4808 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6692, 4808 using Euclid's Algorithm?
Answer: For arbitrary numbers 6692, 4808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.