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 8734, 7109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8734, 7109 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 8734, 7109 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 8734, 7109 is 1.
HCF(8734, 7109) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8734, 7109 is 1.
Step 1: Since 8734 > 7109, we apply the division lemma to 8734 and 7109, to get
8734 = 7109 x 1 + 1625
Step 2: Since the reminder 7109 ≠ 0, we apply division lemma to 1625 and 7109, to get
7109 = 1625 x 4 + 609
Step 3: We consider the new divisor 1625 and the new remainder 609, and apply the division lemma to get
1625 = 609 x 2 + 407
We consider the new divisor 609 and the new remainder 407,and apply the division lemma to get
609 = 407 x 1 + 202
We consider the new divisor 407 and the new remainder 202,and apply the division lemma to get
407 = 202 x 2 + 3
We consider the new divisor 202 and the new remainder 3,and apply the division lemma to get
202 = 3 x 67 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8734 and 7109 is 1
Notice that 1 = HCF(3,1) = HCF(202,3) = HCF(407,202) = HCF(609,407) = HCF(1625,609) = HCF(7109,1625) = HCF(8734,7109) .
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 8734, 7109?
Answer: HCF of 8734, 7109 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8734, 7109 using Euclid's Algorithm?
Answer: For arbitrary numbers 8734, 7109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.