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 7635, 2869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7635, 2869 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 7635, 2869 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 7635, 2869 is 1.
HCF(7635, 2869) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7635, 2869 is 1.
Step 1: Since 7635 > 2869, we apply the division lemma to 7635 and 2869, to get
7635 = 2869 x 2 + 1897
Step 2: Since the reminder 2869 ≠ 0, we apply division lemma to 1897 and 2869, to get
2869 = 1897 x 1 + 972
Step 3: We consider the new divisor 1897 and the new remainder 972, and apply the division lemma to get
1897 = 972 x 1 + 925
We consider the new divisor 972 and the new remainder 925,and apply the division lemma to get
972 = 925 x 1 + 47
We consider the new divisor 925 and the new remainder 47,and apply the division lemma to get
925 = 47 x 19 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 7635 and 2869 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(925,47) = HCF(972,925) = HCF(1897,972) = HCF(2869,1897) = HCF(7635,2869) .
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 7635, 2869?
Answer: HCF of 7635, 2869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7635, 2869 using Euclid's Algorithm?
Answer: For arbitrary numbers 7635, 2869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.