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 7615, 5867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7615, 5867 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 7615, 5867 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 7615, 5867 is 1.
HCF(7615, 5867) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7615, 5867 is 1.
Step 1: Since 7615 > 5867, we apply the division lemma to 7615 and 5867, to get
7615 = 5867 x 1 + 1748
Step 2: Since the reminder 5867 ≠ 0, we apply division lemma to 1748 and 5867, to get
5867 = 1748 x 3 + 623
Step 3: We consider the new divisor 1748 and the new remainder 623, and apply the division lemma to get
1748 = 623 x 2 + 502
We consider the new divisor 623 and the new remainder 502,and apply the division lemma to get
623 = 502 x 1 + 121
We consider the new divisor 502 and the new remainder 121,and apply the division lemma to get
502 = 121 x 4 + 18
We consider the new divisor 121 and the new remainder 18,and apply the division lemma to get
121 = 18 x 6 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7615 and 5867 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(121,18) = HCF(502,121) = HCF(623,502) = HCF(1748,623) = HCF(5867,1748) = HCF(7615,5867) .
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 7615, 5867?
Answer: HCF of 7615, 5867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7615, 5867 using Euclid's Algorithm?
Answer: For arbitrary numbers 7615, 5867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.