Highest Common Factor of 932, 2468, 4030 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 932, 2468, 4030 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 932, 2468, 4030 is 2 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, 2468, 4030 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, 2468, 4030 is 2.
HCF(932, 2468, 4030) = 2
HCF of 932, 2468, 4030 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 932, 2468, 4030 is 2.
Highest Common Factor of 932,2468,4030 is 2
Step 1: Since 2468 > 932, we apply the division lemma to 2468 and 932, to get
2468 = 932 x 2 + 604
Step 2: Since the reminder 932 ≠ 0, we apply division lemma to 604 and 932, to get
932 = 604 x 1 + 328
Step 3: We consider the new divisor 604 and the new remainder 328, and apply the division lemma to get
604 = 328 x 1 + 276
We consider the new divisor 328 and the new remainder 276,and apply the division lemma to get
328 = 276 x 1 + 52
We consider the new divisor 276 and the new remainder 52,and apply the division lemma to get
276 = 52 x 5 + 16
We consider the new divisor 52 and the new remainder 16,and apply the division lemma to get
52 = 16 x 3 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 932 and 2468 is 4
Notice that 4 = HCF(16,4) = HCF(52,16) = HCF(276,52) = HCF(328,276) = HCF(604,328) = HCF(932,604) = HCF(2468,932) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4030 > 4, we apply the division lemma to 4030 and 4, to get
4030 = 4 x 1007 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 4030 is 2
Notice that 2 = HCF(4,2) = HCF(4030,4) .
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Frequently Asked Questions on HCF of 932, 2468, 4030 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 932, 2468, 4030?
Answer: HCF of 932, 2468, 4030 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 932, 2468, 4030 using Euclid's Algorithm?
Answer: For arbitrary numbers 932, 2468, 4030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.