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 3736, 8542 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3736, 8542 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 3736, 8542 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 3736, 8542 is 2.
HCF(3736, 8542) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3736, 8542 is 2.
Step 1: Since 8542 > 3736, we apply the division lemma to 8542 and 3736, to get
8542 = 3736 x 2 + 1070
Step 2: Since the reminder 3736 ≠ 0, we apply division lemma to 1070 and 3736, to get
3736 = 1070 x 3 + 526
Step 3: We consider the new divisor 1070 and the new remainder 526, and apply the division lemma to get
1070 = 526 x 2 + 18
We consider the new divisor 526 and the new remainder 18,and apply the division lemma to get
526 = 18 x 29 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 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 3736 and 8542 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(526,18) = HCF(1070,526) = HCF(3736,1070) = HCF(8542,3736) .
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 3736, 8542?
Answer: HCF of 3736, 8542 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3736, 8542 using Euclid's Algorithm?
Answer: For arbitrary numbers 3736, 8542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.