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 3709, 8697 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3709, 8697 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 3709, 8697 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 3709, 8697 is 1.
HCF(3709, 8697) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3709, 8697 is 1.
Step 1: Since 8697 > 3709, we apply the division lemma to 8697 and 3709, to get
8697 = 3709 x 2 + 1279
Step 2: Since the reminder 3709 ≠ 0, we apply division lemma to 1279 and 3709, to get
3709 = 1279 x 2 + 1151
Step 3: We consider the new divisor 1279 and the new remainder 1151, and apply the division lemma to get
1279 = 1151 x 1 + 128
We consider the new divisor 1151 and the new remainder 128,and apply the division lemma to get
1151 = 128 x 8 + 127
We consider the new divisor 128 and the new remainder 127,and apply the division lemma to get
128 = 127 x 1 + 1
We consider the new divisor 127 and the new remainder 1,and apply the division lemma to get
127 = 1 x 127 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3709 and 8697 is 1
Notice that 1 = HCF(127,1) = HCF(128,127) = HCF(1151,128) = HCF(1279,1151) = HCF(3709,1279) = HCF(8697,3709) .
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 3709, 8697?
Answer: HCF of 3709, 8697 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3709, 8697 using Euclid's Algorithm?
Answer: For arbitrary numbers 3709, 8697 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.