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 4196, 7025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4196, 7025 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 4196, 7025 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 4196, 7025 is 1.
HCF(4196, 7025) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4196, 7025 is 1.
Step 1: Since 7025 > 4196, we apply the division lemma to 7025 and 4196, to get
7025 = 4196 x 1 + 2829
Step 2: Since the reminder 4196 ≠ 0, we apply division lemma to 2829 and 4196, to get
4196 = 2829 x 1 + 1367
Step 3: We consider the new divisor 2829 and the new remainder 1367, and apply the division lemma to get
2829 = 1367 x 2 + 95
We consider the new divisor 1367 and the new remainder 95,and apply the division lemma to get
1367 = 95 x 14 + 37
We consider the new divisor 95 and the new remainder 37,and apply the division lemma to get
95 = 37 x 2 + 21
We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get
37 = 21 x 1 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4196 and 7025 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(95,37) = HCF(1367,95) = HCF(2829,1367) = HCF(4196,2829) = HCF(7025,4196) .
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 4196, 7025?
Answer: HCF of 4196, 7025 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4196, 7025 using Euclid's Algorithm?
Answer: For arbitrary numbers 4196, 7025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.