Highest Common Factor of 707, 504 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 707, 504 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 707, 504 is 7 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 707, 504 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 707, 504 is 7.
HCF(707, 504) = 7
HCF of 707, 504 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 707, 504 is 7.
Highest Common Factor of 707,504 is 7
Step 1: Since 707 > 504, we apply the division lemma to 707 and 504, to get
707 = 504 x 1 + 203
Step 2: Since the reminder 504 ≠ 0, we apply division lemma to 203 and 504, to get
504 = 203 x 2 + 98
Step 3: We consider the new divisor 203 and the new remainder 98, and apply the division lemma to get
203 = 98 x 2 + 7
We consider the new divisor 98 and the new remainder 7, and apply the division lemma to get
98 = 7 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 707 and 504 is 7
Notice that 7 = HCF(98,7) = HCF(203,98) = HCF(504,203) = HCF(707,504) .
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Frequently Asked Questions on HCF of 707, 504 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 707, 504?
Answer: HCF of 707, 504 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 707, 504 using Euclid's Algorithm?
Answer: For arbitrary numbers 707, 504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.