Highest Common Factor of 787, 564, 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 787, 564, 750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 787, 564, 750 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 787, 564, 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 787, 564, 750 is 1.
HCF(787, 564, 750) = 1
HCF of 787, 564, 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 787, 564, 750 is 1.
Highest Common Factor of 787,564,750 is 1
Step 1: Since 787 > 564, we apply the division lemma to 787 and 564, to get
787 = 564 x 1 + 223
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 223 and 564, to get
564 = 223 x 2 + 118
Step 3: We consider the new divisor 223 and the new remainder 118, and apply the division lemma to get
223 = 118 x 1 + 105
We consider the new divisor 118 and the new remainder 105,and apply the division lemma to get
118 = 105 x 1 + 13
We consider the new divisor 105 and the new remainder 13,and apply the division lemma to get
105 = 13 x 8 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 787 and 564 is 1
Notice that 1 = HCF(13,1) = HCF(105,13) = HCF(118,105) = HCF(223,118) = HCF(564,223) = HCF(787,564) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 750 > 1, we apply the division lemma to 750 and 1, to get
750 = 1 x 750 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 750 is 1
Notice that 1 = HCF(750,1) .
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Frequently Asked Questions on HCF of 787, 564, 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 787, 564, 750?
Answer: HCF of 787, 564, 750 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 787, 564, 750 using Euclid's Algorithm?
Answer: For arbitrary numbers 787, 564, 750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.