Highest Common Factor of 931, 6749 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 931, 6749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 6749 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 931, 6749 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 931, 6749 is 1.
HCF(931, 6749) = 1
HCF of 931, 6749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 6749 is 1.
Highest Common Factor of 931,6749 is 1
Step 1: Since 6749 > 931, we apply the division lemma to 6749 and 931, to get
6749 = 931 x 7 + 232
Step 2: Since the reminder 931 ≠ 0, we apply division lemma to 232 and 931, to get
931 = 232 x 4 + 3
Step 3: We consider the new divisor 232 and the new remainder 3, and apply the division lemma to get
232 = 3 x 77 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 931 and 6749 is 1
Notice that 1 = HCF(3,1) = HCF(232,3) = HCF(931,232) = HCF(6749,931) .
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Frequently Asked Questions on HCF of 931, 6749 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 931, 6749?
Answer: HCF of 931, 6749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 6749 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 6749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.