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 6865, 7089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6865, 7089 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 6865, 7089 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 6865, 7089 is 1.
HCF(6865, 7089) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6865, 7089 is 1.
Step 1: Since 7089 > 6865, we apply the division lemma to 7089 and 6865, to get
7089 = 6865 x 1 + 224
Step 2: Since the reminder 6865 ≠ 0, we apply division lemma to 224 and 6865, to get
6865 = 224 x 30 + 145
Step 3: We consider the new divisor 224 and the new remainder 145, and apply the division lemma to get
224 = 145 x 1 + 79
We consider the new divisor 145 and the new remainder 79,and apply the division lemma to get
145 = 79 x 1 + 66
We consider the new divisor 79 and the new remainder 66,and apply the division lemma to get
79 = 66 x 1 + 13
We consider the new divisor 66 and the new remainder 13,and apply the division lemma to get
66 = 13 x 5 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6865 and 7089 is 1
Notice that 1 = HCF(13,1) = HCF(66,13) = HCF(79,66) = HCF(145,79) = HCF(224,145) = HCF(6865,224) = HCF(7089,6865) .
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 6865, 7089?
Answer: HCF of 6865, 7089 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6865, 7089 using Euclid's Algorithm?
Answer: For arbitrary numbers 6865, 7089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.