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 932, 583, 803, 260 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 932, 583, 803, 260 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 932, 583, 803, 260 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 932, 583, 803, 260 is 1.
HCF(932, 583, 803, 260) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 932, 583, 803, 260 is 1.
Step 1: Since 932 > 583, we apply the division lemma to 932 and 583, to get
932 = 583 x 1 + 349
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 349 and 583, to get
583 = 349 x 1 + 234
Step 3: We consider the new divisor 349 and the new remainder 234, and apply the division lemma to get
349 = 234 x 1 + 115
We consider the new divisor 234 and the new remainder 115,and apply the division lemma to get
234 = 115 x 2 + 4
We consider the new divisor 115 and the new remainder 4,and apply the division lemma to get
115 = 4 x 28 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 932 and 583 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(115,4) = HCF(234,115) = HCF(349,234) = HCF(583,349) = HCF(932,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 803 > 1, we apply the division lemma to 803 and 1, to get
803 = 1 x 803 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 803 is 1
Notice that 1 = HCF(803,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 260 > 1, we apply the division lemma to 260 and 1, to get
260 = 1 x 260 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 260 is 1
Notice that 1 = HCF(260,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 932, 583, 803, 260?
Answer: HCF of 932, 583, 803, 260 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 932, 583, 803, 260 using Euclid's Algorithm?
Answer: For arbitrary numbers 932, 583, 803, 260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.