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 3115, 1274 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3115, 1274 is 7 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 3115, 1274 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 3115, 1274 is 7.
HCF(3115, 1274) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3115, 1274 is 7.
Step 1: Since 3115 > 1274, we apply the division lemma to 3115 and 1274, to get
3115 = 1274 x 2 + 567
Step 2: Since the reminder 1274 ≠ 0, we apply division lemma to 567 and 1274, to get
1274 = 567 x 2 + 140
Step 3: We consider the new divisor 567 and the new remainder 140, and apply the division lemma to get
567 = 140 x 4 + 7
We consider the new divisor 140 and the new remainder 7, and apply the division lemma to get
140 = 7 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3115 and 1274 is 7
Notice that 7 = HCF(140,7) = HCF(567,140) = HCF(1274,567) = HCF(3115,1274) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3115, 1274?
Answer: HCF of 3115, 1274 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3115, 1274 using Euclid's Algorithm?
Answer: For arbitrary numbers 3115, 1274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.