Highest Common Factor of 1142, 2474 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 1142, 2474 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1142, 2474 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 1142, 2474 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 1142, 2474 is 2.
HCF(1142, 2474) = 2
HCF of 1142, 2474 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1142, 2474 is 2.
Highest Common Factor of 1142,2474 is 2
Step 1: Since 2474 > 1142, we apply the division lemma to 2474 and 1142, to get
2474 = 1142 x 2 + 190
Step 2: Since the reminder 1142 ≠ 0, we apply division lemma to 190 and 1142, to get
1142 = 190 x 6 + 2
Step 3: We consider the new divisor 190 and the new remainder 2, and apply the division lemma to get
190 = 2 x 95 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1142 and 2474 is 2
Notice that 2 = HCF(190,2) = HCF(1142,190) = HCF(2474,1142) .
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Frequently Asked Questions on HCF of 1142, 2474 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 1142, 2474?
Answer: HCF of 1142, 2474 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1142, 2474 using Euclid's Algorithm?
Answer: For arbitrary numbers 1142, 2474 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.