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 6150, 1499, 77341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6150, 1499, 77341 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 6150, 1499, 77341 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 6150, 1499, 77341 is 1.
HCF(6150, 1499, 77341) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6150, 1499, 77341 is 1.
Step 1: Since 6150 > 1499, we apply the division lemma to 6150 and 1499, to get
6150 = 1499 x 4 + 154
Step 2: Since the reminder 1499 ≠ 0, we apply division lemma to 154 and 1499, to get
1499 = 154 x 9 + 113
Step 3: We consider the new divisor 154 and the new remainder 113, and apply the division lemma to get
154 = 113 x 1 + 41
We consider the new divisor 113 and the new remainder 41,and apply the division lemma to get
113 = 41 x 2 + 31
We consider the new divisor 41 and the new remainder 31,and apply the division lemma to get
41 = 31 x 1 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6150 and 1499 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(41,31) = HCF(113,41) = HCF(154,113) = HCF(1499,154) = HCF(6150,1499) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77341 > 1, we apply the division lemma to 77341 and 1, to get
77341 = 1 x 77341 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77341 is 1
Notice that 1 = HCF(77341,1) .
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 6150, 1499, 77341?
Answer: HCF of 6150, 1499, 77341 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6150, 1499, 77341 using Euclid's Algorithm?
Answer: For arbitrary numbers 6150, 1499, 77341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.