Highest Common Factor of 580, 932, 708 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 580, 932, 708 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 580, 932, 708 is 4 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 580, 932, 708 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 580, 932, 708 is 4.
HCF(580, 932, 708) = 4
HCF of 580, 932, 708 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 580, 932, 708 is 4.
Highest Common Factor of 580,932,708 is 4
Step 1: Since 932 > 580, we apply the division lemma to 932 and 580, to get
932 = 580 x 1 + 352
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 352 and 580, to get
580 = 352 x 1 + 228
Step 3: We consider the new divisor 352 and the new remainder 228, and apply the division lemma to get
352 = 228 x 1 + 124
We consider the new divisor 228 and the new remainder 124,and apply the division lemma to get
228 = 124 x 1 + 104
We consider the new divisor 124 and the new remainder 104,and apply the division lemma to get
124 = 104 x 1 + 20
We consider the new divisor 104 and the new remainder 20,and apply the division lemma to get
104 = 20 x 5 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 580 and 932 is 4
Notice that 4 = HCF(20,4) = HCF(104,20) = HCF(124,104) = HCF(228,124) = HCF(352,228) = HCF(580,352) = HCF(932,580) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 708 > 4, we apply the division lemma to 708 and 4, to get
708 = 4 x 177 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 708 is 4
Notice that 4 = HCF(708,4) .
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Frequently Asked Questions on HCF of 580, 932, 708 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 580, 932, 708?
Answer: HCF of 580, 932, 708 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 580, 932, 708 using Euclid's Algorithm?
Answer: For arbitrary numbers 580, 932, 708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.