Highest Common Factor of 876, 535, 603, 39 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 876, 535, 603, 39 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 876, 535, 603, 39 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 876, 535, 603, 39 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 876, 535, 603, 39 is 1.
HCF(876, 535, 603, 39) = 1
HCF of 876, 535, 603, 39 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 876, 535, 603, 39 is 1.
Highest Common Factor of 876,535,603,39 is 1
Step 1: Since 876 > 535, we apply the division lemma to 876 and 535, to get
876 = 535 x 1 + 341
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 341 and 535, to get
535 = 341 x 1 + 194
Step 3: We consider the new divisor 341 and the new remainder 194, and apply the division lemma to get
341 = 194 x 1 + 147
We consider the new divisor 194 and the new remainder 147,and apply the division lemma to get
194 = 147 x 1 + 47
We consider the new divisor 147 and the new remainder 47,and apply the division lemma to get
147 = 47 x 3 + 6
We consider the new divisor 47 and the new remainder 6,and apply the division lemma to get
47 = 6 x 7 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 876 and 535 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(147,47) = HCF(194,147) = HCF(341,194) = HCF(535,341) = HCF(876,535) .
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) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39 > 1, we apply the division lemma to 39 and 1, to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39 is 1
Notice that 1 = HCF(39,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 876, 535, 603, 39 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 876, 535, 603, 39?
Answer: HCF of 876, 535, 603, 39 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 876, 535, 603, 39 using Euclid's Algorithm?
Answer: For arbitrary numbers 876, 535, 603, 39 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.