Highest Common Factor of 703, 765, 85 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 703, 765, 85 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 765, 85 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 703, 765, 85 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 703, 765, 85 is 1.
HCF(703, 765, 85) = 1
HCF of 703, 765, 85 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 765, 85 is 1.
Highest Common Factor of 703,765,85 is 1
Step 1: Since 765 > 703, we apply the division lemma to 765 and 703, to get
765 = 703 x 1 + 62
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 62 and 703, to get
703 = 62 x 11 + 21
Step 3: We consider the new divisor 62 and the new remainder 21, and apply the division lemma to get
62 = 21 x 2 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 765 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(62,21) = HCF(703,62) = HCF(765,703) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 85 > 1, we apply the division lemma to 85 and 1, to get
85 = 1 x 85 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85 is 1
Notice that 1 = HCF(85,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 703, 765, 85 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 703, 765, 85?
Answer: HCF of 703, 765, 85 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 765, 85 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 765, 85 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.