Highest Common Factor of 912, 768, 746, 751 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 912, 768, 746, 751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 912, 768, 746, 751 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 912, 768, 746, 751 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 912, 768, 746, 751 is 1.
HCF(912, 768, 746, 751) = 1
HCF of 912, 768, 746, 751 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 912, 768, 746, 751 is 1.
Highest Common Factor of 912,768,746,751 is 1
Step 1: Since 912 > 768, we apply the division lemma to 912 and 768, to get
912 = 768 x 1 + 144
Step 2: Since the reminder 768 ≠ 0, we apply division lemma to 144 and 768, to get
768 = 144 x 5 + 48
Step 3: We consider the new divisor 144 and the new remainder 48, and apply the division lemma to get
144 = 48 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 48, the HCF of 912 and 768 is 48
Notice that 48 = HCF(144,48) = HCF(768,144) = HCF(912,768) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 746 > 48, we apply the division lemma to 746 and 48, to get
746 = 48 x 15 + 26
Step 2: Since the reminder 48 ≠ 0, we apply division lemma to 26 and 48, to get
48 = 26 x 1 + 22
Step 3: We consider the new divisor 26 and the new remainder 22, and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 48 and 746 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(48,26) = HCF(746,48) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 751 > 2, we apply the division lemma to 751 and 2, to get
751 = 2 x 375 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 751 is 1
Notice that 1 = HCF(2,1) = HCF(751,2) .
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Frequently Asked Questions on HCF of 912, 768, 746, 751 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 912, 768, 746, 751?
Answer: HCF of 912, 768, 746, 751 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 912, 768, 746, 751 using Euclid's Algorithm?
Answer: For arbitrary numbers 912, 768, 746, 751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
