Highest Common Factor of 745, 528, 298 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 745, 528, 298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 745, 528, 298 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 745, 528, 298 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 745, 528, 298 is 1.
HCF(745, 528, 298) = 1
HCF of 745, 528, 298 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 745, 528, 298 is 1.
Highest Common Factor of 745,528,298 is 1
Step 1: Since 745 > 528, we apply the division lemma to 745 and 528, to get
745 = 528 x 1 + 217
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 217 and 528, to get
528 = 217 x 2 + 94
Step 3: We consider the new divisor 217 and the new remainder 94, and apply the division lemma to get
217 = 94 x 2 + 29
We consider the new divisor 94 and the new remainder 29,and apply the division lemma to get
94 = 29 x 3 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 745 and 528 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(94,29) = HCF(217,94) = HCF(528,217) = HCF(745,528) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 298 > 1, we apply the division lemma to 298 and 1, to get
298 = 1 x 298 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 298 is 1
Notice that 1 = HCF(298,1) .
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Frequently Asked Questions on HCF of 745, 528, 298 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 745, 528, 298?
Answer: HCF of 745, 528, 298 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 745, 528, 298 using Euclid's Algorithm?
Answer: For arbitrary numbers 745, 528, 298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.