Highest Common Factor of 984, 725, 70 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 984, 725, 70 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 984, 725, 70 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 984, 725, 70 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 984, 725, 70 is 1.
HCF(984, 725, 70) = 1
HCF of 984, 725, 70 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 984, 725, 70 is 1.
Highest Common Factor of 984,725,70 is 1
Step 1: Since 984 > 725, we apply the division lemma to 984 and 725, to get
984 = 725 x 1 + 259
Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 259 and 725, to get
725 = 259 x 2 + 207
Step 3: We consider the new divisor 259 and the new remainder 207, and apply the division lemma to get
259 = 207 x 1 + 52
We consider the new divisor 207 and the new remainder 52,and apply the division lemma to get
207 = 52 x 3 + 51
We consider the new divisor 52 and the new remainder 51,and apply the division lemma to get
52 = 51 x 1 + 1
We consider the new divisor 51 and the new remainder 1,and apply the division lemma to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 984 and 725 is 1
Notice that 1 = HCF(51,1) = HCF(52,51) = HCF(207,52) = HCF(259,207) = HCF(725,259) = HCF(984,725) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70 > 1, we apply the division lemma to 70 and 1, to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70 is 1
Notice that 1 = HCF(70,1) .
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Frequently Asked Questions on HCF of 984, 725, 70 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 984, 725, 70?
Answer: HCF of 984, 725, 70 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 984, 725, 70 using Euclid's Algorithm?
Answer: For arbitrary numbers 984, 725, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.