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 7726, 5718 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7726, 5718 is 2 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 7726, 5718 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 7726, 5718 is 2.
HCF(7726, 5718) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7726, 5718 is 2.
Step 1: Since 7726 > 5718, we apply the division lemma to 7726 and 5718, to get
7726 = 5718 x 1 + 2008
Step 2: Since the reminder 5718 ≠ 0, we apply division lemma to 2008 and 5718, to get
5718 = 2008 x 2 + 1702
Step 3: We consider the new divisor 2008 and the new remainder 1702, and apply the division lemma to get
2008 = 1702 x 1 + 306
We consider the new divisor 1702 and the new remainder 306,and apply the division lemma to get
1702 = 306 x 5 + 172
We consider the new divisor 306 and the new remainder 172,and apply the division lemma to get
306 = 172 x 1 + 134
We consider the new divisor 172 and the new remainder 134,and apply the division lemma to get
172 = 134 x 1 + 38
We consider the new divisor 134 and the new remainder 38,and apply the division lemma to get
134 = 38 x 3 + 20
We consider the new divisor 38 and the new remainder 20,and apply the division lemma to get
38 = 20 x 1 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7726 and 5718 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(38,20) = HCF(134,38) = HCF(172,134) = HCF(306,172) = HCF(1702,306) = HCF(2008,1702) = HCF(5718,2008) = HCF(7726,5718) .
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 7726, 5718?
Answer: HCF of 7726, 5718 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7726, 5718 using Euclid's Algorithm?
Answer: For arbitrary numbers 7726, 5718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.