Highest Common Factor of 703, 607, 871, 603 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, 607, 871, 603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 607, 871, 603 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, 607, 871, 603 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, 607, 871, 603 is 1.
HCF(703, 607, 871, 603) = 1
HCF of 703, 607, 871, 603 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, 607, 871, 603 is 1.
Highest Common Factor of 703,607,871,603 is 1
Step 1: Since 703 > 607, we apply the division lemma to 703 and 607, to get
703 = 607 x 1 + 96
Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 96 and 607, to get
607 = 96 x 6 + 31
Step 3: We consider the new divisor 96 and the new remainder 31, and apply the division lemma to get
96 = 31 x 3 + 3
We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get
31 = 3 x 10 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 607 is 1
Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(96,31) = HCF(607,96) = HCF(703,607) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 871 > 1, we apply the division lemma to 871 and 1, to get
871 = 1 x 871 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 871 is 1
Notice that 1 = HCF(871,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 603 > 1, we apply the division lemma to 603 and 1, to get
603 = 1 x 603 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 603 is 1
Notice that 1 = HCF(603,1) .
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, 607, 871, 603 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, 607, 871, 603?
Answer: HCF of 703, 607, 871, 603 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 607, 871, 603 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 607, 871, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.