Highest Common Factor of 269, 964, 907 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 269, 964, 907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 269, 964, 907 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 269, 964, 907 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 269, 964, 907 is 1.
HCF(269, 964, 907) = 1
HCF of 269, 964, 907 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 269, 964, 907 is 1.
Highest Common Factor of 269,964,907 is 1
Step 1: Since 964 > 269, we apply the division lemma to 964 and 269, to get
964 = 269 x 3 + 157
Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 157 and 269, to get
269 = 157 x 1 + 112
Step 3: We consider the new divisor 157 and the new remainder 112, and apply the division lemma to get
157 = 112 x 1 + 45
We consider the new divisor 112 and the new remainder 45,and apply the division lemma to get
112 = 45 x 2 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 269 and 964 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(112,45) = HCF(157,112) = HCF(269,157) = HCF(964,269) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 907 > 1, we apply the division lemma to 907 and 1, to get
907 = 1 x 907 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 907 is 1
Notice that 1 = HCF(907,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 269, 964, 907 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 269, 964, 907?
Answer: HCF of 269, 964, 907 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 269, 964, 907 using Euclid's Algorithm?
Answer: For arbitrary numbers 269, 964, 907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
