Highest Common Factor of 761, 337, 229 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 761, 337, 229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 761, 337, 229 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 761, 337, 229 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 761, 337, 229 is 1.
HCF(761, 337, 229) = 1
HCF of 761, 337, 229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 761, 337, 229 is 1.
Highest Common Factor of 761,337,229 is 1
Step 1: Since 761 > 337, we apply the division lemma to 761 and 337, to get
761 = 337 x 2 + 87
Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 87 and 337, to get
337 = 87 x 3 + 76
Step 3: We consider the new divisor 87 and the new remainder 76, and apply the division lemma to get
87 = 76 x 1 + 11
We consider the new divisor 76 and the new remainder 11,and apply the division lemma to get
76 = 11 x 6 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 761 and 337 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(76,11) = HCF(87,76) = HCF(337,87) = HCF(761,337) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 229 > 1, we apply the division lemma to 229 and 1, to get
229 = 1 x 229 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 229 is 1
Notice that 1 = HCF(229,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 761, 337, 229 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 761, 337, 229?
Answer: HCF of 761, 337, 229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 761, 337, 229 using Euclid's Algorithm?
Answer: For arbitrary numbers 761, 337, 229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.