Highest Common Factor of 701, 978, 875 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 701, 978, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 978, 875 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 701, 978, 875 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 701, 978, 875 is 1.
HCF(701, 978, 875) = 1
HCF of 701, 978, 875 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 701, 978, 875 is 1.
Highest Common Factor of 701,978,875 is 1
Step 1: Since 978 > 701, we apply the division lemma to 978 and 701, to get
978 = 701 x 1 + 277
Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 277 and 701, to get
701 = 277 x 2 + 147
Step 3: We consider the new divisor 277 and the new remainder 147, and apply the division lemma to get
277 = 147 x 1 + 130
We consider the new divisor 147 and the new remainder 130,and apply the division lemma to get
147 = 130 x 1 + 17
We consider the new divisor 130 and the new remainder 17,and apply the division lemma to get
130 = 17 x 7 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 701 and 978 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(130,17) = HCF(147,130) = HCF(277,147) = HCF(701,277) = HCF(978,701) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 875 > 1, we apply the division lemma to 875 and 1, to get
875 = 1 x 875 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 875 is 1
Notice that 1 = HCF(875,1) .
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Frequently Asked Questions on HCF of 701, 978, 875 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 701, 978, 875?
Answer: HCF of 701, 978, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 978, 875 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 978, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.