Highest Common Factor of 275, 538, 674, 430 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 275, 538, 674, 430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 275, 538, 674, 430 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 275, 538, 674, 430 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 275, 538, 674, 430 is 1.
HCF(275, 538, 674, 430) = 1
HCF of 275, 538, 674, 430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 275, 538, 674, 430 is 1.
Highest Common Factor of 275,538,674,430 is 1
Step 1: Since 538 > 275, we apply the division lemma to 538 and 275, to get
538 = 275 x 1 + 263
Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 263 and 275, to get
275 = 263 x 1 + 12
Step 3: We consider the new divisor 263 and the new remainder 12, and apply the division lemma to get
263 = 12 x 21 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 275 and 538 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(263,12) = HCF(275,263) = HCF(538,275) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 674 > 1, we apply the division lemma to 674 and 1, to get
674 = 1 x 674 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 674 is 1
Notice that 1 = HCF(674,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 430 > 1, we apply the division lemma to 430 and 1, to get
430 = 1 x 430 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 430 is 1
Notice that 1 = HCF(430,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 275, 538, 674, 430 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 275, 538, 674, 430?
Answer: HCF of 275, 538, 674, 430 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 275, 538, 674, 430 using Euclid's Algorithm?
Answer: For arbitrary numbers 275, 538, 674, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.