Highest Common Factor of 4438, 7186 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 4438, 7186 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4438, 7186 is 2 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 4438, 7186 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 4438, 7186 is 2.
HCF(4438, 7186) = 2
HCF of 4438, 7186 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4438, 7186 is 2.
Highest Common Factor of 4438,7186 is 2
Step 1: Since 7186 > 4438, we apply the division lemma to 7186 and 4438, to get
7186 = 4438 x 1 + 2748
Step 2: Since the reminder 4438 ≠ 0, we apply division lemma to 2748 and 4438, to get
4438 = 2748 x 1 + 1690
Step 3: We consider the new divisor 2748 and the new remainder 1690, and apply the division lemma to get
2748 = 1690 x 1 + 1058
We consider the new divisor 1690 and the new remainder 1058,and apply the division lemma to get
1690 = 1058 x 1 + 632
We consider the new divisor 1058 and the new remainder 632,and apply the division lemma to get
1058 = 632 x 1 + 426
We consider the new divisor 632 and the new remainder 426,and apply the division lemma to get
632 = 426 x 1 + 206
We consider the new divisor 426 and the new remainder 206,and apply the division lemma to get
426 = 206 x 2 + 14
We consider the new divisor 206 and the new remainder 14,and apply the division lemma to get
206 = 14 x 14 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4438 and 7186 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(206,14) = HCF(426,206) = HCF(632,426) = HCF(1058,632) = HCF(1690,1058) = HCF(2748,1690) = HCF(4438,2748) = HCF(7186,4438) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4438, 7186 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 4438, 7186?
Answer: HCF of 4438, 7186 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4438, 7186 using Euclid's Algorithm?
Answer: For arbitrary numbers 4438, 7186 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.