Highest Common Factor of 761, 1236 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 761, 1236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 761, 1236 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 761, 1236 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 761, 1236 is 1.
HCF(761, 1236) = 1
HCF of 761, 1236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 761, 1236 is 1.
Highest Common Factor of 761,1236 is 1
Step 1: Since 1236 > 761, we apply the division lemma to 1236 and 761, to get
1236 = 761 x 1 + 475
Step 2: Since the reminder 761 ≠ 0, we apply division lemma to 475 and 761, to get
761 = 475 x 1 + 286
Step 3: We consider the new divisor 475 and the new remainder 286, and apply the division lemma to get
475 = 286 x 1 + 189
We consider the new divisor 286 and the new remainder 189,and apply the division lemma to get
286 = 189 x 1 + 97
We consider the new divisor 189 and the new remainder 97,and apply the division lemma to get
189 = 97 x 1 + 92
We consider the new divisor 97 and the new remainder 92,and apply the division lemma to get
97 = 92 x 1 + 5
We consider the new divisor 92 and the new remainder 5,and apply the division lemma to get
92 = 5 x 18 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 761 and 1236 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(92,5) = HCF(97,92) = HCF(189,97) = HCF(286,189) = HCF(475,286) = HCF(761,475) = HCF(1236,761) .
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Frequently Asked Questions on HCF of 761, 1236 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 761, 1236?
Answer: HCF of 761, 1236 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 761, 1236 using Euclid's Algorithm?
Answer: For arbitrary numbers 761, 1236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.