Highest Common Factor of 319, 233, 877, 98 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 319, 233, 877, 98 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 319, 233, 877, 98 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 319, 233, 877, 98 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 319, 233, 877, 98 is 1.
HCF(319, 233, 877, 98) = 1
HCF of 319, 233, 877, 98 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 319, 233, 877, 98 is 1.
Highest Common Factor of 319,233,877,98 is 1
Step 1: Since 319 > 233, we apply the division lemma to 319 and 233, to get
319 = 233 x 1 + 86
Step 2: Since the reminder 233 ≠ 0, we apply division lemma to 86 and 233, to get
233 = 86 x 2 + 61
Step 3: We consider the new divisor 86 and the new remainder 61, and apply the division lemma to get
86 = 61 x 1 + 25
We consider the new divisor 61 and the new remainder 25,and apply the division lemma to get
61 = 25 x 2 + 11
We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get
25 = 11 x 2 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 319 and 233 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(61,25) = HCF(86,61) = HCF(233,86) = HCF(319,233) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 877 > 1, we apply the division lemma to 877 and 1, to get
877 = 1 x 877 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 877 is 1
Notice that 1 = HCF(877,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 98 > 1, we apply the division lemma to 98 and 1, to get
98 = 1 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98 is 1
Notice that 1 = HCF(98,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 319, 233, 877, 98 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 319, 233, 877, 98?
Answer: HCF of 319, 233, 877, 98 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 319, 233, 877, 98 using Euclid's Algorithm?
Answer: For arbitrary numbers 319, 233, 877, 98 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
