Highest Common Factor of 7688, 773 using Euclid's algorithm
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 7688, 773 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7688, 773 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 7688, 773 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 7688, 773 is 1.
HCF(7688, 773) = 1
HCF of 7688, 773 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7688, 773 is 1.
Highest Common Factor of 7688,773 is 1
Step 1: Since 7688 > 773, we apply the division lemma to 7688 and 773, to get
7688 = 773 x 9 + 731
Step 2: Since the reminder 773 ≠ 0, we apply division lemma to 731 and 773, to get
773 = 731 x 1 + 42
Step 3: We consider the new divisor 731 and the new remainder 42, and apply the division lemma to get
731 = 42 x 17 + 17
We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get
42 = 17 x 2 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7688 and 773 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(731,42) = HCF(773,731) = HCF(7688,773) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7688, 773 using Euclid's Algorithm
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 7688, 773?
Answer: HCF of 7688, 773 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7688, 773 using Euclid's Algorithm?
Answer: For arbitrary numbers 7688, 773 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.