Highest Common Factor of 970, 525 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 970, 525 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 970, 525 is 5 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 970, 525 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 970, 525 is 5.
HCF(970, 525) = 5
HCF of 970, 525 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 970, 525 is 5.
Highest Common Factor of 970,525 is 5
Step 1: Since 970 > 525, we apply the division lemma to 970 and 525, to get
970 = 525 x 1 + 445
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 445 and 525, to get
525 = 445 x 1 + 80
Step 3: We consider the new divisor 445 and the new remainder 80, and apply the division lemma to get
445 = 80 x 5 + 45
We consider the new divisor 80 and the new remainder 45,and apply the division lemma to get
80 = 45 x 1 + 35
We consider the new divisor 45 and the new remainder 35,and apply the division lemma to get
45 = 35 x 1 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 970 and 525 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(45,35) = HCF(80,45) = HCF(445,80) = HCF(525,445) = HCF(970,525) .
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Frequently Asked Questions on HCF of 970, 525 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 970, 525?
Answer: HCF of 970, 525 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 970, 525 using Euclid's Algorithm?
Answer: For arbitrary numbers 970, 525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.