Highest Common Factor of 929, 87740 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 929, 87740 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 87740 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 929, 87740 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 929, 87740 is 1.
HCF(929, 87740) = 1
HCF of 929, 87740 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 87740 is 1.
Highest Common Factor of 929,87740 is 1
Step 1: Since 87740 > 929, we apply the division lemma to 87740 and 929, to get
87740 = 929 x 94 + 414
Step 2: Since the reminder 929 ≠ 0, we apply division lemma to 414 and 929, to get
929 = 414 x 2 + 101
Step 3: We consider the new divisor 414 and the new remainder 101, and apply the division lemma to get
414 = 101 x 4 + 10
We consider the new divisor 101 and the new remainder 10,and apply the division lemma to get
101 = 10 x 10 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 929 and 87740 is 1
Notice that 1 = HCF(10,1) = HCF(101,10) = HCF(414,101) = HCF(929,414) = HCF(87740,929) .
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Frequently Asked Questions on HCF of 929, 87740 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 929, 87740?
Answer: HCF of 929, 87740 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 87740 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 87740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
