Highest Common Factor of 276, 751, 844, 39 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 276, 751, 844, 39 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 276, 751, 844, 39 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 276, 751, 844, 39 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 276, 751, 844, 39 is 1.
HCF(276, 751, 844, 39) = 1
HCF of 276, 751, 844, 39 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 276, 751, 844, 39 is 1.
Highest Common Factor of 276,751,844,39 is 1
Step 1: Since 751 > 276, we apply the division lemma to 751 and 276, to get
751 = 276 x 2 + 199
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 199 and 276, to get
276 = 199 x 1 + 77
Step 3: We consider the new divisor 199 and the new remainder 77, and apply the division lemma to get
199 = 77 x 2 + 45
We consider the new divisor 77 and the new remainder 45,and apply the division lemma to get
77 = 45 x 1 + 32
We consider the new divisor 45 and the new remainder 32,and apply the division lemma to get
45 = 32 x 1 + 13
We consider the new divisor 32 and the new remainder 13,and apply the division lemma to get
32 = 13 x 2 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 276 and 751 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(45,32) = HCF(77,45) = HCF(199,77) = HCF(276,199) = HCF(751,276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 844 > 1, we apply the division lemma to 844 and 1, to get
844 = 1 x 844 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 844 is 1
Notice that 1 = HCF(844,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39 > 1, we apply the division lemma to 39 and 1, to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39 is 1
Notice that 1 = HCF(39,1) .
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Frequently Asked Questions on HCF of 276, 751, 844, 39 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 276, 751, 844, 39?
Answer: HCF of 276, 751, 844, 39 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 276, 751, 844, 39 using Euclid's Algorithm?
Answer: For arbitrary numbers 276, 751, 844, 39 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.