Highest Common Factor of 441, 738, 962, 787 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 441, 738, 962, 787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 441, 738, 962, 787 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 441, 738, 962, 787 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 441, 738, 962, 787 is 1.
HCF(441, 738, 962, 787) = 1
HCF of 441, 738, 962, 787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 441, 738, 962, 787 is 1.
Highest Common Factor of 441,738,962,787 is 1
Step 1: Since 738 > 441, we apply the division lemma to 738 and 441, to get
738 = 441 x 1 + 297
Step 2: Since the reminder 441 ≠ 0, we apply division lemma to 297 and 441, to get
441 = 297 x 1 + 144
Step 3: We consider the new divisor 297 and the new remainder 144, and apply the division lemma to get
297 = 144 x 2 + 9
We consider the new divisor 144 and the new remainder 9, and apply the division lemma to get
144 = 9 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 441 and 738 is 9
Notice that 9 = HCF(144,9) = HCF(297,144) = HCF(441,297) = HCF(738,441) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 962 > 9, we apply the division lemma to 962 and 9, to get
962 = 9 x 106 + 8
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 8 and 9, to get
9 = 8 x 1 + 1
Step 3: We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 962 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(962,9) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 787 > 1, we apply the division lemma to 787 and 1, to get
787 = 1 x 787 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 787 is 1
Notice that 1 = HCF(787,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 441, 738, 962, 787 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 441, 738, 962, 787?
Answer: HCF of 441, 738, 962, 787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 441, 738, 962, 787 using Euclid's Algorithm?
Answer: For arbitrary numbers 441, 738, 962, 787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.