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 6374, 6050 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6374, 6050 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 6374, 6050 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 6374, 6050 is 2.
HCF(6374, 6050) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6374, 6050 is 2.
Step 1: Since 6374 > 6050, we apply the division lemma to 6374 and 6050, to get
6374 = 6050 x 1 + 324
Step 2: Since the reminder 6050 ≠ 0, we apply division lemma to 324 and 6050, to get
6050 = 324 x 18 + 218
Step 3: We consider the new divisor 324 and the new remainder 218, and apply the division lemma to get
324 = 218 x 1 + 106
We consider the new divisor 218 and the new remainder 106,and apply the division lemma to get
218 = 106 x 2 + 6
We consider the new divisor 106 and the new remainder 6,and apply the division lemma to get
106 = 6 x 17 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 6374 and 6050 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(106,6) = HCF(218,106) = HCF(324,218) = HCF(6050,324) = HCF(6374,6050) .
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 6374, 6050?
Answer: HCF of 6374, 6050 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6374, 6050 using Euclid's Algorithm?
Answer: For arbitrary numbers 6374, 6050 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.