Highest Common Factor of 975, 2291, 4143 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 975, 2291, 4143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 975, 2291, 4143 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 975, 2291, 4143 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 975, 2291, 4143 is 1.
HCF(975, 2291, 4143) = 1
HCF of 975, 2291, 4143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 975, 2291, 4143 is 1.
Highest Common Factor of 975,2291,4143 is 1
Step 1: Since 2291 > 975, we apply the division lemma to 2291 and 975, to get
2291 = 975 x 2 + 341
Step 2: Since the reminder 975 ≠ 0, we apply division lemma to 341 and 975, to get
975 = 341 x 2 + 293
Step 3: We consider the new divisor 341 and the new remainder 293, and apply the division lemma to get
341 = 293 x 1 + 48
We consider the new divisor 293 and the new remainder 48,and apply the division lemma to get
293 = 48 x 6 + 5
We consider the new divisor 48 and the new remainder 5,and apply the division lemma to get
48 = 5 x 9 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 975 and 2291 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(48,5) = HCF(293,48) = HCF(341,293) = HCF(975,341) = HCF(2291,975) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4143 > 1, we apply the division lemma to 4143 and 1, to get
4143 = 1 x 4143 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4143 is 1
Notice that 1 = HCF(4143,1) .
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Frequently Asked Questions on HCF of 975, 2291, 4143 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 975, 2291, 4143?
Answer: HCF of 975, 2291, 4143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 975, 2291, 4143 using Euclid's Algorithm?
Answer: For arbitrary numbers 975, 2291, 4143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
