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 7721, 6887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7721, 6887 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 7721, 6887 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 7721, 6887 is 1.
HCF(7721, 6887) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7721, 6887 is 1.
Step 1: Since 7721 > 6887, we apply the division lemma to 7721 and 6887, to get
7721 = 6887 x 1 + 834
Step 2: Since the reminder 6887 ≠ 0, we apply division lemma to 834 and 6887, to get
6887 = 834 x 8 + 215
Step 3: We consider the new divisor 834 and the new remainder 215, and apply the division lemma to get
834 = 215 x 3 + 189
We consider the new divisor 215 and the new remainder 189,and apply the division lemma to get
215 = 189 x 1 + 26
We consider the new divisor 189 and the new remainder 26,and apply the division lemma to get
189 = 26 x 7 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7721 and 6887 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(189,26) = HCF(215,189) = HCF(834,215) = HCF(6887,834) = HCF(7721,6887) .
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 7721, 6887?
Answer: HCF of 7721, 6887 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7721, 6887 using Euclid's Algorithm?
Answer: For arbitrary numbers 7721, 6887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.