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 1275, 6106 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1275, 6106 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 1275, 6106 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 1275, 6106 is 1.
HCF(1275, 6106) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1275, 6106 is 1.
Step 1: Since 6106 > 1275, we apply the division lemma to 6106 and 1275, to get
6106 = 1275 x 4 + 1006
Step 2: Since the reminder 1275 ≠ 0, we apply division lemma to 1006 and 1275, to get
1275 = 1006 x 1 + 269
Step 3: We consider the new divisor 1006 and the new remainder 269, and apply the division lemma to get
1006 = 269 x 3 + 199
We consider the new divisor 269 and the new remainder 199,and apply the division lemma to get
269 = 199 x 1 + 70
We consider the new divisor 199 and the new remainder 70,and apply the division lemma to get
199 = 70 x 2 + 59
We consider the new divisor 70 and the new remainder 59,and apply the division lemma to get
70 = 59 x 1 + 11
We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get
59 = 11 x 5 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1275 and 6106 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(70,59) = HCF(199,70) = HCF(269,199) = HCF(1006,269) = HCF(1275,1006) = HCF(6106,1275) .
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 1275, 6106?
Answer: HCF of 1275, 6106 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1275, 6106 using Euclid's Algorithm?
Answer: For arbitrary numbers 1275, 6106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.