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 750, 961, 305, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 750, 961, 305, 11 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 750, 961, 305, 11 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 750, 961, 305, 11 is 1.
HCF(750, 961, 305, 11) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 750, 961, 305, 11 is 1.
Step 1: Since 961 > 750, we apply the division lemma to 961 and 750, to get
961 = 750 x 1 + 211
Step 2: Since the reminder 750 ≠ 0, we apply division lemma to 211 and 750, to get
750 = 211 x 3 + 117
Step 3: We consider the new divisor 211 and the new remainder 117, and apply the division lemma to get
211 = 117 x 1 + 94
We consider the new divisor 117 and the new remainder 94,and apply the division lemma to get
117 = 94 x 1 + 23
We consider the new divisor 94 and the new remainder 23,and apply the division lemma to get
94 = 23 x 4 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 750 and 961 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(94,23) = HCF(117,94) = HCF(211,117) = HCF(750,211) = HCF(961,750) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 305 > 1, we apply the division lemma to 305 and 1, to get
305 = 1 x 305 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 305 is 1
Notice that 1 = HCF(305,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11 is 1
Notice that 1 = HCF(11,1) .
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 750, 961, 305, 11?
Answer: HCF of 750, 961, 305, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 750, 961, 305, 11 using Euclid's Algorithm?
Answer: For arbitrary numbers 750, 961, 305, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.