Highest Common Factor of 525, 910 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 525, 910 i.e. 35 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 910 is 35 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 525, 910 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 525, 910 is 35.
HCF(525, 910) = 35
HCF of 525, 910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 910 is 35.
Highest Common Factor of 525,910 is 35
Step 1: Since 910 > 525, we apply the division lemma to 910 and 525, to get
910 = 525 x 1 + 385
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 385 and 525, to get
525 = 385 x 1 + 140
Step 3: We consider the new divisor 385 and the new remainder 140, and apply the division lemma to get
385 = 140 x 2 + 105
We consider the new divisor 140 and the new remainder 105,and apply the division lemma to get
140 = 105 x 1 + 35
We consider the new divisor 105 and the new remainder 35,and apply the division lemma to get
105 = 35 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 525 and 910 is 35
Notice that 35 = HCF(105,35) = HCF(140,105) = HCF(385,140) = HCF(525,385) = HCF(910,525) .
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Frequently Asked Questions on HCF of 525, 910 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 525, 910?
Answer: HCF of 525, 910 is 35 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.