Highest Common Factor of 1274, 1542 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 1274, 1542 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1274, 1542 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 1274, 1542 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 1274, 1542 is 2.
HCF(1274, 1542) = 2
HCF of 1274, 1542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1274, 1542 is 2.
Highest Common Factor of 1274,1542 is 2
Step 1: Since 1542 > 1274, we apply the division lemma to 1542 and 1274, to get
1542 = 1274 x 1 + 268
Step 2: Since the reminder 1274 ≠ 0, we apply division lemma to 268 and 1274, to get
1274 = 268 x 4 + 202
Step 3: We consider the new divisor 268 and the new remainder 202, and apply the division lemma to get
268 = 202 x 1 + 66
We consider the new divisor 202 and the new remainder 66,and apply the division lemma to get
202 = 66 x 3 + 4
We consider the new divisor 66 and the new remainder 4,and apply the division lemma to get
66 = 4 x 16 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1274 and 1542 is 2
Notice that 2 = HCF(4,2) = HCF(66,4) = HCF(202,66) = HCF(268,202) = HCF(1274,268) = HCF(1542,1274) .
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Frequently Asked Questions on HCF of 1274, 1542 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 1274, 1542?
Answer: HCF of 1274, 1542 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1274, 1542 using Euclid's Algorithm?
Answer: For arbitrary numbers 1274, 1542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
