Highest Common Factor of 929, 899, 360, 180 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 929, 899, 360, 180 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 899, 360, 180 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 929, 899, 360, 180 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 929, 899, 360, 180 is 1.
HCF(929, 899, 360, 180) = 1
HCF of 929, 899, 360, 180 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 899, 360, 180 is 1.
Highest Common Factor of 929,899,360,180 is 1
Step 1: Since 929 > 899, we apply the division lemma to 929 and 899, to get
929 = 899 x 1 + 30
Step 2: Since the reminder 899 ≠ 0, we apply division lemma to 30 and 899, to get
899 = 30 x 29 + 29
Step 3: We consider the new divisor 30 and the new remainder 29, and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1, and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 929 and 899 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(899,30) = HCF(929,899) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 360 > 1, we apply the division lemma to 360 and 1, to get
360 = 1 x 360 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 360 is 1
Notice that 1 = HCF(360,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 180 > 1, we apply the division lemma to 180 and 1, to get
180 = 1 x 180 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 180 is 1
Notice that 1 = HCF(180,1) .
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Frequently Asked Questions on HCF of 929, 899, 360, 180 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 929, 899, 360, 180?
Answer: HCF of 929, 899, 360, 180 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 899, 360, 180 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 899, 360, 180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.