Highest Common Factor of 784, 488, 750 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 784, 488, 750 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 784, 488, 750 is 2 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 784, 488, 750 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 784, 488, 750 is 2.
HCF(784, 488, 750) = 2
HCF of 784, 488, 750 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 784, 488, 750 is 2.
Highest Common Factor of 784,488,750 is 2
Step 1: Since 784 > 488, we apply the division lemma to 784 and 488, to get
784 = 488 x 1 + 296
Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 296 and 488, to get
488 = 296 x 1 + 192
Step 3: We consider the new divisor 296 and the new remainder 192, and apply the division lemma to get
296 = 192 x 1 + 104
We consider the new divisor 192 and the new remainder 104,and apply the division lemma to get
192 = 104 x 1 + 88
We consider the new divisor 104 and the new remainder 88,and apply the division lemma to get
104 = 88 x 1 + 16
We consider the new divisor 88 and the new remainder 16,and apply the division lemma to get
88 = 16 x 5 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 784 and 488 is 8
Notice that 8 = HCF(16,8) = HCF(88,16) = HCF(104,88) = HCF(192,104) = HCF(296,192) = HCF(488,296) = HCF(784,488) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 750 > 8, we apply the division lemma to 750 and 8, to get
750 = 8 x 93 + 6
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 6 and 8, to get
8 = 6 x 1 + 2
Step 3: We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 750 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(750,8) .
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Frequently Asked Questions on HCF of 784, 488, 750 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 784, 488, 750?
Answer: HCF of 784, 488, 750 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 784, 488, 750 using Euclid's Algorithm?
Answer: For arbitrary numbers 784, 488, 750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.