Highest Common Factor of 528, 298, 958 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 528, 298, 958 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 528, 298, 958 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 528, 298, 958 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 528, 298, 958 is 2.
HCF(528, 298, 958) = 2
HCF of 528, 298, 958 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 528, 298, 958 is 2.
Highest Common Factor of 528,298,958 is 2
Step 1: Since 528 > 298, we apply the division lemma to 528 and 298, to get
528 = 298 x 1 + 230
Step 2: Since the reminder 298 ≠ 0, we apply division lemma to 230 and 298, to get
298 = 230 x 1 + 68
Step 3: We consider the new divisor 230 and the new remainder 68, and apply the division lemma to get
230 = 68 x 3 + 26
We consider the new divisor 68 and the new remainder 26,and apply the division lemma to get
68 = 26 x 2 + 16
We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 528 and 298 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(68,26) = HCF(230,68) = HCF(298,230) = HCF(528,298) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 958 > 2, we apply the division lemma to 958 and 2, to get
958 = 2 x 479 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 958 is 2
Notice that 2 = HCF(958,2) .
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Frequently Asked Questions on HCF of 528, 298, 958 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 528, 298, 958?
Answer: HCF of 528, 298, 958 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 528, 298, 958 using Euclid's Algorithm?
Answer: For arbitrary numbers 528, 298, 958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.