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 3442, 7837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3442, 7837 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 3442, 7837 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 3442, 7837 is 1.
HCF(3442, 7837) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3442, 7837 is 1.
Step 1: Since 7837 > 3442, we apply the division lemma to 7837 and 3442, to get
7837 = 3442 x 2 + 953
Step 2: Since the reminder 3442 ≠ 0, we apply division lemma to 953 and 3442, to get
3442 = 953 x 3 + 583
Step 3: We consider the new divisor 953 and the new remainder 583, and apply the division lemma to get
953 = 583 x 1 + 370
We consider the new divisor 583 and the new remainder 370,and apply the division lemma to get
583 = 370 x 1 + 213
We consider the new divisor 370 and the new remainder 213,and apply the division lemma to get
370 = 213 x 1 + 157
We consider the new divisor 213 and the new remainder 157,and apply the division lemma to get
213 = 157 x 1 + 56
We consider the new divisor 157 and the new remainder 56,and apply the division lemma to get
157 = 56 x 2 + 45
We consider the new divisor 56 and the new remainder 45,and apply the division lemma to get
56 = 45 x 1 + 11
We consider the new divisor 45 and the new remainder 11,and apply the division lemma to get
45 = 11 x 4 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3442 and 7837 is 1
Notice that 1 = HCF(11,1) = HCF(45,11) = HCF(56,45) = HCF(157,56) = HCF(213,157) = HCF(370,213) = HCF(583,370) = HCF(953,583) = HCF(3442,953) = HCF(7837,3442) .
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 3442, 7837?
Answer: HCF of 3442, 7837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3442, 7837 using Euclid's Algorithm?
Answer: For arbitrary numbers 3442, 7837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.