Highest Common Factor of 737, 5580, 7096 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 737, 5580, 7096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 737, 5580, 7096 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 737, 5580, 7096 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 737, 5580, 7096 is 1.
HCF(737, 5580, 7096) = 1
HCF of 737, 5580, 7096 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 737, 5580, 7096 is 1.
Highest Common Factor of 737,5580,7096 is 1
Step 1: Since 5580 > 737, we apply the division lemma to 5580 and 737, to get
5580 = 737 x 7 + 421
Step 2: Since the reminder 737 ≠ 0, we apply division lemma to 421 and 737, to get
737 = 421 x 1 + 316
Step 3: We consider the new divisor 421 and the new remainder 316, and apply the division lemma to get
421 = 316 x 1 + 105
We consider the new divisor 316 and the new remainder 105,and apply the division lemma to get
316 = 105 x 3 + 1
We consider the new divisor 105 and the new remainder 1,and apply the division lemma to get
105 = 1 x 105 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 737 and 5580 is 1
Notice that 1 = HCF(105,1) = HCF(316,105) = HCF(421,316) = HCF(737,421) = HCF(5580,737) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7096 > 1, we apply the division lemma to 7096 and 1, to get
7096 = 1 x 7096 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7096 is 1
Notice that 1 = HCF(7096,1) .
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Frequently Asked Questions on HCF of 737, 5580, 7096 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 737, 5580, 7096?
Answer: HCF of 737, 5580, 7096 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 737, 5580, 7096 using Euclid's Algorithm?
Answer: For arbitrary numbers 737, 5580, 7096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.