Highest Common Factor of 759, 978, 392, 575 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 759, 978, 392, 575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 759, 978, 392, 575 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 759, 978, 392, 575 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 759, 978, 392, 575 is 1.
HCF(759, 978, 392, 575) = 1
HCF of 759, 978, 392, 575 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 759, 978, 392, 575 is 1.
Highest Common Factor of 759,978,392,575 is 1
Step 1: Since 978 > 759, we apply the division lemma to 978 and 759, to get
978 = 759 x 1 + 219
Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 219 and 759, to get
759 = 219 x 3 + 102
Step 3: We consider the new divisor 219 and the new remainder 102, and apply the division lemma to get
219 = 102 x 2 + 15
We consider the new divisor 102 and the new remainder 15,and apply the division lemma to get
102 = 15 x 6 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 759 and 978 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(102,15) = HCF(219,102) = HCF(759,219) = HCF(978,759) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 392 > 3, we apply the division lemma to 392 and 3, to get
392 = 3 x 130 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 392 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(392,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 575 > 1, we apply the division lemma to 575 and 1, to get
575 = 1 x 575 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 575 is 1
Notice that 1 = HCF(575,1) .
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Frequently Asked Questions on HCF of 759, 978, 392, 575 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 759, 978, 392, 575?
Answer: HCF of 759, 978, 392, 575 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 759, 978, 392, 575 using Euclid's Algorithm?
Answer: For arbitrary numbers 759, 978, 392, 575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.