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 6719, 7127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6719, 7127 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 6719, 7127 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 6719, 7127 is 1.
HCF(6719, 7127) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6719, 7127 is 1.
Step 1: Since 7127 > 6719, we apply the division lemma to 7127 and 6719, to get
7127 = 6719 x 1 + 408
Step 2: Since the reminder 6719 ≠ 0, we apply division lemma to 408 and 6719, to get
6719 = 408 x 16 + 191
Step 3: We consider the new divisor 408 and the new remainder 191, and apply the division lemma to get
408 = 191 x 2 + 26
We consider the new divisor 191 and the new remainder 26,and apply the division lemma to get
191 = 26 x 7 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6719 and 7127 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(191,26) = HCF(408,191) = HCF(6719,408) = HCF(7127,6719) .
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 6719, 7127?
Answer: HCF of 6719, 7127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6719, 7127 using Euclid's Algorithm?
Answer: For arbitrary numbers 6719, 7127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.