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 4125, 6299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4125, 6299 is 1 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 4125, 6299 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 4125, 6299 is 1.
HCF(4125, 6299) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4125, 6299 is 1.
Step 1: Since 6299 > 4125, we apply the division lemma to 6299 and 4125, to get
6299 = 4125 x 1 + 2174
Step 2: Since the reminder 4125 ≠ 0, we apply division lemma to 2174 and 4125, to get
4125 = 2174 x 1 + 1951
Step 3: We consider the new divisor 2174 and the new remainder 1951, and apply the division lemma to get
2174 = 1951 x 1 + 223
We consider the new divisor 1951 and the new remainder 223,and apply the division lemma to get
1951 = 223 x 8 + 167
We consider the new divisor 223 and the new remainder 167,and apply the division lemma to get
223 = 167 x 1 + 56
We consider the new divisor 167 and the new remainder 56,and apply the division lemma to get
167 = 56 x 2 + 55
We consider the new divisor 56 and the new remainder 55,and apply the division lemma to get
56 = 55 x 1 + 1
We consider the new divisor 55 and the new remainder 1,and apply the division lemma to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4125 and 6299 is 1
Notice that 1 = HCF(55,1) = HCF(56,55) = HCF(167,56) = HCF(223,167) = HCF(1951,223) = HCF(2174,1951) = HCF(4125,2174) = HCF(6299,4125) .
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 4125, 6299?
Answer: HCF of 4125, 6299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4125, 6299 using Euclid's Algorithm?
Answer: For arbitrary numbers 4125, 6299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.