Highest Common Factor of 750, 861, 88, 959 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 750, 861, 88, 959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 750, 861, 88, 959 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, 861, 88, 959 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, 861, 88, 959 is 1.
HCF(750, 861, 88, 959) = 1
HCF of 750, 861, 88, 959 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 750, 861, 88, 959 is 1.
Highest Common Factor of 750,861,88,959 is 1
Step 1: Since 861 > 750, we apply the division lemma to 861 and 750, to get
861 = 750 x 1 + 111
Step 2: Since the reminder 750 ≠ 0, we apply division lemma to 111 and 750, to get
750 = 111 x 6 + 84
Step 3: We consider the new divisor 111 and the new remainder 84, and apply the division lemma to get
111 = 84 x 1 + 27
We consider the new divisor 84 and the new remainder 27,and apply the division lemma to get
84 = 27 x 3 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 750 and 861 is 3
Notice that 3 = HCF(27,3) = HCF(84,27) = HCF(111,84) = HCF(750,111) = HCF(861,750) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88 > 3, we apply the division lemma to 88 and 3, to get
88 = 3 x 29 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 88 is 1
Notice that 1 = HCF(3,1) = HCF(88,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 959 > 1, we apply the division lemma to 959 and 1, to get
959 = 1 x 959 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 959 is 1
Notice that 1 = HCF(959,1) .
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Frequently Asked Questions on HCF of 750, 861, 88, 959 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 750, 861, 88, 959?
Answer: HCF of 750, 861, 88, 959 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 750, 861, 88, 959 using Euclid's Algorithm?
Answer: For arbitrary numbers 750, 861, 88, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.