Highest Common Factor of 707, 292, 280 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 707, 292, 280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 292, 280 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 707, 292, 280 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 707, 292, 280 is 1.
HCF(707, 292, 280) = 1
HCF of 707, 292, 280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 707, 292, 280 is 1.
Highest Common Factor of 707,292,280 is 1
Step 1: Since 707 > 292, we apply the division lemma to 707 and 292, to get
707 = 292 x 2 + 123
Step 2: Since the reminder 292 ≠ 0, we apply division lemma to 123 and 292, to get
292 = 123 x 2 + 46
Step 3: We consider the new divisor 123 and the new remainder 46, and apply the division lemma to get
123 = 46 x 2 + 31
We consider the new divisor 46 and the new remainder 31,and apply the division lemma to get
46 = 31 x 1 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 707 and 292 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(46,31) = HCF(123,46) = HCF(292,123) = HCF(707,292) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 280 > 1, we apply the division lemma to 280 and 1, to get
280 = 1 x 280 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 280 is 1
Notice that 1 = HCF(280,1) .
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Frequently Asked Questions on HCF of 707, 292, 280 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 707, 292, 280?
Answer: HCF of 707, 292, 280 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 292, 280 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 292, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.