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 3720, 3847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3720, 3847 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 3720, 3847 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 3720, 3847 is 1.
HCF(3720, 3847) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3720, 3847 is 1.
Step 1: Since 3847 > 3720, we apply the division lemma to 3847 and 3720, to get
3847 = 3720 x 1 + 127
Step 2: Since the reminder 3720 ≠ 0, we apply division lemma to 127 and 3720, to get
3720 = 127 x 29 + 37
Step 3: We consider the new divisor 127 and the new remainder 37, and apply the division lemma to get
127 = 37 x 3 + 16
We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get
37 = 16 x 2 + 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 3720 and 3847 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(127,37) = HCF(3720,127) = HCF(3847,3720) .
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 3720, 3847?
Answer: HCF of 3720, 3847 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3720, 3847 using Euclid's Algorithm?
Answer: For arbitrary numbers 3720, 3847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.