Highest Common Factor of 4691, 2457 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 4691, 2457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4691, 2457 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 4691, 2457 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 4691, 2457 is 1.
HCF(4691, 2457) = 1
HCF of 4691, 2457 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4691, 2457 is 1.
Highest Common Factor of 4691,2457 is 1
Step 1: Since 4691 > 2457, we apply the division lemma to 4691 and 2457, to get
4691 = 2457 x 1 + 2234
Step 2: Since the reminder 2457 ≠ 0, we apply division lemma to 2234 and 2457, to get
2457 = 2234 x 1 + 223
Step 3: We consider the new divisor 2234 and the new remainder 223, and apply the division lemma to get
2234 = 223 x 10 + 4
We consider the new divisor 223 and the new remainder 4,and apply the division lemma to get
223 = 4 x 55 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4691 and 2457 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(223,4) = HCF(2234,223) = HCF(2457,2234) = HCF(4691,2457) .
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Frequently Asked Questions on HCF of 4691, 2457 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 4691, 2457?
Answer: HCF of 4691, 2457 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4691, 2457 using Euclid's Algorithm?
Answer: For arbitrary numbers 4691, 2457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.